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Finding the Fourth Proportional to 2,316.30, 3,475.41 and 930.62

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Solution

The fourth proportional to 2,316.30, 3,475.41 and 930.62 is: 1,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.30 : 3,475.41 = 930.62 : x
  2. Step 2: Convert to fraction form
    2,316.30/3,475.41 = 930.62/x
  3. Step 3: Cross multiply
    2,316.30x = 3,475.41 × 930.62
  4. Step 4: Simplify right side
    2,316.30x = 3,234,266.35
  5. Step 5: Solve for x
    x = 3,234,266.35/2,316.30
  6. Step 6: Final answer
    x = 1,396.31

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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.