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Finding the Fourth Proportional to 2,697.28, 4,045.62 and 723.10

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Solution

The fourth proportional to 2,697.28, 4,045.62 and 723.10 is: 1,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.28 : 4,045.62 = 723.10 : x
  2. Step 2: Convert to fraction form
    2,697.28/4,045.62 = 723.10/x
  3. Step 3: Cross multiply
    2,697.28x = 4,045.62 × 723.10
  4. Step 4: Simplify right side
    2,697.28x = 2,925,382.76
  5. Step 5: Solve for x
    x = 2,925,382.76/2,697.28
  6. Step 6: Final answer
    x = 1,084.57

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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.