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Finding the Fourth Proportional to 1,681.95, 2,520.19 and 1,031.31

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Solution

The fourth proportional to 1,681.95, 2,520.19 and 1,031.31 is: 1,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.95 : 2,520.19 = 1,031.31 : x
  2. Step 2: Convert to fraction form
    1,681.95/2,520.19 = 1,031.31/x
  3. Step 3: Cross multiply
    1,681.95x = 2,520.19 × 1,031.31
  4. Step 4: Simplify right side
    1,681.95x = 2,599,097.15
  5. Step 5: Solve for x
    x = 2,599,097.15/1,681.95
  6. Step 6: Final answer
    x = 1,545.29

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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.