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Finding the Fourth Proportional to 2,609.68, 3,916.92 and 1,312

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Solution

The fourth proportional to 2,609.68, 3,916.92 and 1,312 is: 1,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.68 : 3,916.92 = 1,312 : x
  2. Step 2: Convert to fraction form
    2,609.68/3,916.92 = 1,312/x
  3. Step 3: Cross multiply
    2,609.68x = 3,916.92 × 1,312
  4. Step 4: Simplify right side
    2,609.68x = 5,138,999.04
  5. Step 5: Solve for x
    x = 5,138,999.04/2,609.68
  6. Step 6: Final answer
    x = 1,969.21

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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.