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Finding the Fourth Proportional to 1,539.26, 2,307.24 and 718.10

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Solution

The fourth proportional to 1,539.26, 2,307.24 and 718.10 is: 1,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.26 : 2,307.24 = 718.10 : x
  2. Step 2: Convert to fraction form
    1,539.26/2,307.24 = 718.10/x
  3. Step 3: Cross multiply
    1,539.26x = 2,307.24 × 718.10
  4. Step 4: Simplify right side
    1,539.26x = 1,656,829.04
  5. Step 5: Solve for x
    x = 1,656,829.04/1,539.26
  6. Step 6: Final answer
    x = 1,076.38

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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.