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Finding the Fourth Proportional to 1,562.15, 2,342.07 and 945.72

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Solution

The fourth proportional to 1,562.15, 2,342.07 and 945.72 is: 1,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.15 : 2,342.07 = 945.72 : x
  2. Step 2: Convert to fraction form
    1,562.15/2,342.07 = 945.72/x
  3. Step 3: Cross multiply
    1,562.15x = 2,342.07 × 945.72
  4. Step 4: Simplify right side
    1,562.15x = 2,214,944.40
  5. Step 5: Solve for x
    x = 2,214,944.40/1,562.15
  6. Step 6: Final answer
    x = 1,417.88

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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.