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Finding the Fourth Proportional to 1,415.59, 2,122.91 and 674.78

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Solution

The fourth proportional to 1,415.59, 2,122.91 and 674.78 is: 1,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.59 : 2,122.91 = 674.78 : x
  2. Step 2: Convert to fraction form
    1,415.59/2,122.91 = 674.78/x
  3. Step 3: Cross multiply
    1,415.59x = 2,122.91 × 674.78
  4. Step 4: Simplify right side
    1,415.59x = 1,432,502.94
  5. Step 5: Solve for x
    x = 1,432,502.94/1,415.59
  6. Step 6: Final answer
    x = 1,011.95

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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.