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Finding the Fourth Proportional to 2,425.38, 3,345.76 and 1,834.89

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Solution

The fourth proportional to 2,425.38, 3,345.76 and 1,834.89 is: 2,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.38 : 3,345.76 = 1,834.89 : x
  2. Step 2: Convert to fraction form
    2,425.38/3,345.76 = 1,834.89/x
  3. Step 3: Cross multiply
    2,425.38x = 3,345.76 × 1,834.89
  4. Step 4: Simplify right side
    2,425.38x = 6,139,080.99
  5. Step 5: Solve for x
    x = 6,139,080.99/2,425.38
  6. Step 6: Final answer
    x = 2,531.19

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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.