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Finding the Fourth Proportional to 2,916.70, 4,025.14 and 1,657.71

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Solution

The fourth proportional to 2,916.70, 4,025.14 and 1,657.71 is: 2,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.70 : 4,025.14 = 1,657.71 : x
  2. Step 2: Convert to fraction form
    2,916.70/4,025.14 = 1,657.71/x
  3. Step 3: Cross multiply
    2,916.70x = 4,025.14 × 1,657.71
  4. Step 4: Simplify right side
    2,916.70x = 6,672,510.69
  5. Step 5: Solve for x
    x = 6,672,510.69/2,916.70
  6. Step 6: Final answer
    x = 2,287.69

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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.