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Finding the Fourth Proportional to 1,560.64, 2,153.72 and 862.02

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Solution

The fourth proportional to 1,560.64, 2,153.72 and 862.02 is: 1,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.64 : 2,153.72 = 862.02 : x
  2. Step 2: Convert to fraction form
    1,560.64/2,153.72 = 862.02/x
  3. Step 3: Cross multiply
    1,560.64x = 2,153.72 × 862.02
  4. Step 4: Simplify right side
    1,560.64x = 1,856,549.71
  5. Step 5: Solve for x
    x = 1,856,549.71/1,560.64
  6. Step 6: Final answer
    x = 1,189.61

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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.