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Finding the Fourth Proportional to 2,232.32, 3,348.49 and 915.72

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Solution

The fourth proportional to 2,232.32, 3,348.49 and 915.72 is: 1,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.32 : 3,348.49 = 915.72 : x
  2. Step 2: Convert to fraction form
    2,232.32/3,348.49 = 915.72/x
  3. Step 3: Cross multiply
    2,232.32x = 3,348.49 × 915.72
  4. Step 4: Simplify right side
    2,232.32x = 3,066,276.97
  5. Step 5: Solve for x
    x = 3,066,276.97/2,232.32
  6. Step 6: Final answer
    x = 1,373.59

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1.5x scale

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.