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Finding the Fourth Proportional to 1,927.59, 2,659.42 and 1,572.90

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Solution

The fourth proportional to 1,927.59, 2,659.42 and 1,572.90 is: 2,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.59 : 2,659.42 = 1,572.90 : x
  2. Step 2: Convert to fraction form
    1,927.59/2,659.42 = 1,572.90/x
  3. Step 3: Cross multiply
    1,927.59x = 2,659.42 × 1,572.90
  4. Step 4: Simplify right side
    1,927.59x = 4,183,001.72
  5. Step 5: Solve for x
    x = 4,183,001.72/1,927.59
  6. Step 6: Final answer
    x = 2,170.07

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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.