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Finding the Fourth Proportional to 1,562.12, 2,343.72 and 697.04

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Solution

The fourth proportional to 1,562.12, 2,343.72 and 697.04 is: 1,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.12 : 2,343.72 = 697.04 : x
  2. Step 2: Convert to fraction form
    1,562.12/2,343.72 = 697.04/x
  3. Step 3: Cross multiply
    1,562.12x = 2,343.72 × 697.04
  4. Step 4: Simplify right side
    1,562.12x = 1,633,666.59
  5. Step 5: Solve for x
    x = 1,633,666.59/1,562.12
  6. Step 6: Final answer
    x = 1,045.80

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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.