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Finding the Fourth Proportional to 1,564.72, 2,160.93 and 1,353.88

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Solution

The fourth proportional to 1,564.72, 2,160.93 and 1,353.88 is: 1,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.72 : 2,160.93 = 1,353.88 : x
  2. Step 2: Convert to fraction form
    1,564.72/2,160.93 = 1,353.88/x
  3. Step 3: Cross multiply
    1,564.72x = 2,160.93 × 1,353.88
  4. Step 4: Simplify right side
    1,564.72x = 2,925,633.14
  5. Step 5: Solve for x
    x = 2,925,633.14/1,564.72
  6. Step 6: Final answer
    x = 1,869.75

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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.