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Finding the Fourth Proportional to 1,757.81, 2,425.81 and 971.86

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Solution

The fourth proportional to 1,757.81, 2,425.81 and 971.86 is: 1,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.81 : 2,425.81 = 971.86 : x
  2. Step 2: Convert to fraction form
    1,757.81/2,425.81 = 971.86/x
  3. Step 3: Cross multiply
    1,757.81x = 2,425.81 × 971.86
  4. Step 4: Simplify right side
    1,757.81x = 2,357,545.58
  5. Step 5: Solve for x
    x = 2,357,545.58/1,757.81
  6. Step 6: Final answer
    x = 1,341.18

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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.