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Finding the Fourth Proportional to 2,871.62, 4,307.45 and 1,140.24

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Solution

The fourth proportional to 2,871.62, 4,307.45 and 1,140.24 is: 1,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.62 : 4,307.45 = 1,140.24 : x
  2. Step 2: Convert to fraction form
    2,871.62/4,307.45 = 1,140.24/x
  3. Step 3: Cross multiply
    2,871.62x = 4,307.45 × 1,140.24
  4. Step 4: Simplify right side
    2,871.62x = 4,911,526.79
  5. Step 5: Solve for x
    x = 4,911,526.79/2,871.62
  6. Step 6: Final answer
    x = 1,710.37

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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.