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Finding the Fourth Proportional to 1,560.28, 2,338.54 and 572.30

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Solution

The fourth proportional to 1,560.28, 2,338.54 and 572.30 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.28 : 2,338.54 = 572.30 : x
  2. Step 2: Convert to fraction form
    1,560.28/2,338.54 = 572.30/x
  3. Step 3: Cross multiply
    1,560.28x = 2,338.54 × 572.30
  4. Step 4: Simplify right side
    1,560.28x = 1,338,344.23
  5. Step 5: Solve for x
    x = 1,338,344.23/1,560.28
  6. Step 6: Final answer
    x = 857.76

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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.