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Finding the Fourth Proportional to 2,373.61, 3,275.56 and 1,311.38

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Solution

The fourth proportional to 2,373.61, 3,275.56 and 1,311.38 is: 1,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.61 : 3,275.56 = 1,311.38 : x
  2. Step 2: Convert to fraction form
    2,373.61/3,275.56 = 1,311.38/x
  3. Step 3: Cross multiply
    2,373.61x = 3,275.56 × 1,311.38
  4. Step 4: Simplify right side
    2,373.61x = 4,295,503.87
  5. Step 5: Solve for x
    x = 4,295,503.87/2,373.61
  6. Step 6: Final answer
    x = 1,809.69

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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.