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Finding the Fourth Proportional to 1,757.13, 2,424.90 and 971.22

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Solution

The fourth proportional to 1,757.13, 2,424.90 and 971.22 is: 1,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.13 : 2,424.90 = 971.22 : x
  2. Step 2: Convert to fraction form
    1,757.13/2,424.90 = 971.22/x
  3. Step 3: Cross multiply
    1,757.13x = 2,424.90 × 971.22
  4. Step 4: Simplify right side
    1,757.13x = 2,355,111.38
  5. Step 5: Solve for x
    x = 2,355,111.38/1,757.13
  6. Step 6: Final answer
    x = 1,340.32

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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.