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Finding the Fourth Proportional to 1,876.90, 2,592.76 and 1,355.66

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Solution

The fourth proportional to 1,876.90, 2,592.76 and 1,355.66 is: 1,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.90 : 2,592.76 = 1,355.66 : x
  2. Step 2: Convert to fraction form
    1,876.90/2,592.76 = 1,355.66/x
  3. Step 3: Cross multiply
    1,876.90x = 2,592.76 × 1,355.66
  4. Step 4: Simplify right side
    1,876.90x = 3,514,901.02
  5. Step 5: Solve for x
    x = 3,514,901.02/1,876.90
  6. Step 6: Final answer
    x = 1,872.72

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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.