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Finding the Fourth Proportional to 1,654.72, 2,469.76 and 1,389.76

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Solution

The fourth proportional to 1,654.72, 2,469.76 and 1,389.76 is: 2,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.72 : 2,469.76 = 1,389.76 : x
  2. Step 2: Convert to fraction form
    1,654.72/2,469.76 = 1,389.76/x
  3. Step 3: Cross multiply
    1,654.72x = 2,469.76 × 1,389.76
  4. Step 4: Simplify right side
    1,654.72x = 3,432,373.66
  5. Step 5: Solve for x
    x = 3,432,373.66/1,654.72
  6. Step 6: Final answer
    x = 2,074.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.