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Finding the Fourth Proportional to 2,368.07, 3,552.75 and 724.58

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Solution

The fourth proportional to 2,368.07, 3,552.75 and 724.58 is: 1,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.07 : 3,552.75 = 724.58 : x
  2. Step 2: Convert to fraction form
    2,368.07/3,552.75 = 724.58/x
  3. Step 3: Cross multiply
    2,368.07x = 3,552.75 × 724.58
  4. Step 4: Simplify right side
    2,368.07x = 2,574,233.83
  5. Step 5: Solve for x
    x = 2,574,233.83/2,368.07
  6. Step 6: Final answer
    x = 1,087.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.