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Finding the Fourth Proportional to 1,562.88, 2,157.12 and 1,066.70

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Solution

The fourth proportional to 1,562.88, 2,157.12 and 1,066.70 is: 1,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.88 : 2,157.12 = 1,066.70 : x
  2. Step 2: Convert to fraction form
    1,562.88/2,157.12 = 1,066.70/x
  3. Step 3: Cross multiply
    1,562.88x = 2,157.12 × 1,066.70
  4. Step 4: Simplify right side
    1,562.88x = 2,300,999.90
  5. Step 5: Solve for x
    x = 2,300,999.90/1,562.88
  6. Step 6: Final answer
    x = 1,472.28

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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.