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Finding the Fourth Proportional to 2,095.39, 3,138.29 and 1,000.52

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Solution

The fourth proportional to 2,095.39, 3,138.29 and 1,000.52 is: 1,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.39 : 3,138.29 = 1,000.52 : x
  2. Step 2: Convert to fraction form
    2,095.39/3,138.29 = 1,000.52/x
  3. Step 3: Cross multiply
    2,095.39x = 3,138.29 × 1,000.52
  4. Step 4: Simplify right side
    2,095.39x = 3,139,916.74
  5. Step 5: Solve for x
    x = 3,139,916.74/2,095.39
  6. Step 6: Final answer
    x = 1,498.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.