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Finding the Fourth Proportional to 1,354.65, 1,869.32 and 913.15

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Solution

The fourth proportional to 1,354.65, 1,869.32 and 913.15 is: 1,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.65 : 1,869.32 = 913.15 : x
  2. Step 2: Convert to fraction form
    1,354.65/1,869.32 = 913.15/x
  3. Step 3: Cross multiply
    1,354.65x = 1,869.32 × 913.15
  4. Step 4: Simplify right side
    1,354.65x = 1,706,962.50
  5. Step 5: Solve for x
    x = 1,706,962.50/1,354.65
  6. Step 6: Final answer
    x = 1,260.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.