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Finding the Fourth Proportional to 2,715.91, 4,074.33 and 984.13

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Solution

The fourth proportional to 2,715.91, 4,074.33 and 984.13 is: 1,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.91 : 4,074.33 = 984.13 : x
  2. Step 2: Convert to fraction form
    2,715.91/4,074.33 = 984.13/x
  3. Step 3: Cross multiply
    2,715.91x = 4,074.33 × 984.13
  4. Step 4: Simplify right side
    2,715.91x = 4,009,670.38
  5. Step 5: Solve for x
    x = 4,009,670.38/2,715.91
  6. Step 6: Final answer
    x = 1,476.36

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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.