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Finding the Fourth Proportional to 2,886.50, 4,330.21 and 938.25

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Solution

The fourth proportional to 2,886.50, 4,330.21 and 938.25 is: 1,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.50 : 4,330.21 = 938.25 : x
  2. Step 2: Convert to fraction form
    2,886.50/4,330.21 = 938.25/x
  3. Step 3: Cross multiply
    2,886.50x = 4,330.21 × 938.25
  4. Step 4: Simplify right side
    2,886.50x = 4,062,818.95
  5. Step 5: Solve for x
    x = 4,062,818.95/2,886.50
  6. Step 6: Final answer
    x = 1,407.52

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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.