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Finding the Fourth Proportional to 2,916.76, 4,025.15 and 1,657.82

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Solution

The fourth proportional to 2,916.76, 4,025.15 and 1,657.82 is: 2,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.76 : 4,025.15 = 1,657.82 : x
  2. Step 2: Convert to fraction form
    2,916.76/4,025.15 = 1,657.82/x
  3. Step 3: Cross multiply
    2,916.76x = 4,025.15 × 1,657.82
  4. Step 4: Simplify right side
    2,916.76x = 6,672,974.17
  5. Step 5: Solve for x
    x = 6,672,974.17/2,916.76
  6. Step 6: Final answer
    x = 2,287.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.