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Finding the Fourth Proportional to 2,951.74, 4,415.28 and 2,074.18

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Solution

The fourth proportional to 2,951.74, 4,415.28 and 2,074.18 is: 3,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.74 : 4,415.28 = 2,074.18 : x
  2. Step 2: Convert to fraction form
    2,951.74/4,415.28 = 2,074.18/x
  3. Step 3: Cross multiply
    2,951.74x = 4,415.28 × 2,074.18
  4. Step 4: Simplify right side
    2,951.74x = 9,158,085.47
  5. Step 5: Solve for x
    x = 9,158,085.47/2,951.74
  6. Step 6: Final answer
    x = 3,102.61

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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.