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Finding the Fourth Proportional to 2,368.11, 3,552.87 and 724.82

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Solution

The fourth proportional to 2,368.11, 3,552.87 and 724.82 is: 1,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.11 : 3,552.87 = 724.82 : x
  2. Step 2: Convert to fraction form
    2,368.11/3,552.87 = 724.82/x
  3. Step 3: Cross multiply
    2,368.11x = 3,552.87 × 724.82
  4. Step 4: Simplify right side
    2,368.11x = 2,575,191.23
  5. Step 5: Solve for x
    x = 2,575,191.23/2,368.11
  6. Step 6: Final answer
    x = 1,087.45

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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.