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Finding the Fourth Proportional to 2,242.92, 3,097.64 and 1,500

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Solution

The fourth proportional to 2,242.92, 3,097.64 and 1,500 is: 2,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.92 : 3,097.64 = 1,500 : x
  2. Step 2: Convert to fraction form
    2,242.92/3,097.64 = 1,500/x
  3. Step 3: Cross multiply
    2,242.92x = 3,097.64 × 1,500
  4. Step 4: Simplify right side
    2,242.92x = 4,646,460
  5. Step 5: Solve for x
    x = 4,646,460/2,242.92
  6. Step 6: Final answer
    x = 2,071.61

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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.