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Finding the Fourth Proportional to 1,755.92, 2,423.16 and 970.04

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Solution

The fourth proportional to 1,755.92, 2,423.16 and 970.04 is: 1,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.92 : 2,423.16 = 970.04 : x
  2. Step 2: Convert to fraction form
    1,755.92/2,423.16 = 970.04/x
  3. Step 3: Cross multiply
    1,755.92x = 2,423.16 × 970.04
  4. Step 4: Simplify right side
    1,755.92x = 2,350,562.13
  5. Step 5: Solve for x
    x = 2,350,562.13/1,755.92
  6. Step 6: Final answer
    x = 1,338.65

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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.