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Finding the Fourth Proportional to 3,125.74, 4,688.30 and 817.24

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Solution

The fourth proportional to 3,125.74, 4,688.30 and 817.24 is: 1,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.74 : 4,688.30 = 817.24 : x
  2. Step 2: Convert to fraction form
    3,125.74/4,688.30 = 817.24/x
  3. Step 3: Cross multiply
    3,125.74x = 4,688.30 × 817.24
  4. Step 4: Simplify right side
    3,125.74x = 3,831,466.29
  5. Step 5: Solve for x
    x = 3,831,466.29/3,125.74
  6. Step 6: Final answer
    x = 1,225.78

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.