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Finding the Fourth Proportional to 1,562.63, 2,355.94 and 1,456.88

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Solution

The fourth proportional to 1,562.63, 2,355.94 and 1,456.88 is: 2,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.63 : 2,355.94 = 1,456.88 : x
  2. Step 2: Convert to fraction form
    1,562.63/2,355.94 = 1,456.88/x
  3. Step 3: Cross multiply
    1,562.63x = 2,355.94 × 1,456.88
  4. Step 4: Simplify right side
    1,562.63x = 3,432,321.87
  5. Step 5: Solve for x
    x = 3,432,321.87/1,562.63
  6. Step 6: Final answer
    x = 2,196.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.