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Finding the Fourth Proportional to 1,562.05, 2,153.08 and 1,037.17

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Solution

The fourth proportional to 1,562.05, 2,153.08 and 1,037.17 is: 1,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.05 : 2,153.08 = 1,037.17 : x
  2. Step 2: Convert to fraction form
    1,562.05/2,153.08 = 1,037.17/x
  3. Step 3: Cross multiply
    1,562.05x = 2,153.08 × 1,037.17
  4. Step 4: Simplify right side
    1,562.05x = 2,233,109.98
  5. Step 5: Solve for x
    x = 2,233,109.98/1,562.05
  6. Step 6: Final answer
    x = 1,429.60

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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.