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Finding the Fourth Proportional to 1,925.92, 2,886.76 and 755.57

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Solution

The fourth proportional to 1,925.92, 2,886.76 and 755.57 is: 1,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.92 : 2,886.76 = 755.57 : x
  2. Step 2: Convert to fraction form
    1,925.92/2,886.76 = 755.57/x
  3. Step 3: Cross multiply
    1,925.92x = 2,886.76 × 755.57
  4. Step 4: Simplify right side
    1,925.92x = 2,181,149.25
  5. Step 5: Solve for x
    x = 2,181,149.25/1,925.92
  6. Step 6: Final answer
    x = 1,132.52

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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.