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Finding the Fourth Proportional to 1,837.08, 2,753.19 and 912.87

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Solution

The fourth proportional to 1,837.08, 2,753.19 and 912.87 is: 1,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.08 : 2,753.19 = 912.87 : x
  2. Step 2: Convert to fraction form
    1,837.08/2,753.19 = 912.87/x
  3. Step 3: Cross multiply
    1,837.08x = 2,753.19 × 912.87
  4. Step 4: Simplify right side
    1,837.08x = 2,513,304.56
  5. Step 5: Solve for x
    x = 2,513,304.56/1,837.08
  6. Step 6: Final answer
    x = 1,368.10

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Why These Related Problems?

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