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Finding the Fourth Proportional to 2,342.76, 3,232.17 and 1,503.93

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Solution

The fourth proportional to 2,342.76, 3,232.17 and 1,503.93 is: 2,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.76 : 3,232.17 = 1,503.93 : x
  2. Step 2: Convert to fraction form
    2,342.76/3,232.17 = 1,503.93/x
  3. Step 3: Cross multiply
    2,342.76x = 3,232.17 × 1,503.93
  4. Step 4: Simplify right side
    2,342.76x = 4,860,957.43
  5. Step 5: Solve for x
    x = 4,860,957.43/2,342.76
  6. Step 6: Final answer
    x = 2,074.88

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1.5x scale

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.