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Finding the Fourth Proportional to 3,132.56, 4,696.56 and 1,488.16

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Solution

The fourth proportional to 3,132.56, 4,696.56 and 1,488.16 is: 2,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.56 : 4,696.56 = 1,488.16 : x
  2. Step 2: Convert to fraction form
    3,132.56/4,696.56 = 1,488.16/x
  3. Step 3: Cross multiply
    3,132.56x = 4,696.56 × 1,488.16
  4. Step 4: Simplify right side
    3,132.56x = 6,989,232.73
  5. Step 5: Solve for x
    x = 6,989,232.73/3,132.56
  6. Step 6: Final answer
    x = 2,231.16

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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.