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Finding the Fourth Proportional to 3,125.81, 4,688.35 and 817.49

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Solution

The fourth proportional to 3,125.81, 4,688.35 and 817.49 is: 1,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.81 : 4,688.35 = 817.49 : x
  2. Step 2: Convert to fraction form
    3,125.81/4,688.35 = 817.49/x
  3. Step 3: Cross multiply
    3,125.81x = 4,688.35 × 817.49
  4. Step 4: Simplify right side
    3,125.81x = 3,832,653.76
  5. Step 5: Solve for x
    x = 3,832,653.76/3,125.81
  6. Step 6: Final answer
    x = 1,226.13

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