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Finding the Fourth Proportional to 1,564.73, 2,160.95 and 1,353.90

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Solution

The fourth proportional to 1,564.73, 2,160.95 and 1,353.90 is: 1,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.73 : 2,160.95 = 1,353.90 : x
  2. Step 2: Convert to fraction form
    1,564.73/2,160.95 = 1,353.90/x
  3. Step 3: Cross multiply
    1,564.73x = 2,160.95 × 1,353.90
  4. Step 4: Simplify right side
    1,564.73x = 2,925,703.44
  5. Step 5: Solve for x
    x = 2,925,703.44/1,564.73
  6. Step 6: Final answer
    x = 1,869.79

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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.