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Finding the Fourth Proportional to 2,902.71, 4,352.23 and 1,258

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Solution

The fourth proportional to 2,902.71, 4,352.23 and 1,258 is: 1,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.71 : 4,352.23 = 1,258 : x
  2. Step 2: Convert to fraction form
    2,902.71/4,352.23 = 1,258/x
  3. Step 3: Cross multiply
    2,902.71x = 4,352.23 × 1,258
  4. Step 4: Simplify right side
    2,902.71x = 5,475,105.34
  5. Step 5: Solve for x
    x = 5,475,105.34/2,902.71
  6. Step 6: Final answer
    x = 1,886.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.