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Finding the Fourth Proportional to 2,595.92, 3,894.44 and 952.47

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Solution

The fourth proportional to 2,595.92, 3,894.44 and 952.47 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.92 : 3,894.44 = 952.47 : x
  2. Step 2: Convert to fraction form
    2,595.92/3,894.44 = 952.47/x
  3. Step 3: Cross multiply
    2,595.92x = 3,894.44 × 952.47
  4. Step 4: Simplify right side
    2,595.92x = 3,709,332.50
  5. Step 5: Solve for x
    x = 3,709,332.50/2,595.92
  6. Step 6: Final answer
    x = 1,428.91

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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.