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Finding the Fourth Proportional to 2,014.61, 2,780.30 and 1,228.79

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Solution

The fourth proportional to 2,014.61, 2,780.30 and 1,228.79 is: 1,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.61 : 2,780.30 = 1,228.79 : x
  2. Step 2: Convert to fraction form
    2,014.61/2,780.30 = 1,228.79/x
  3. Step 3: Cross multiply
    2,014.61x = 2,780.30 × 1,228.79
  4. Step 4: Simplify right side
    2,014.61x = 3,416,414.86
  5. Step 5: Solve for x
    x = 3,416,414.86/2,014.61
  6. Step 6: Final answer
    x = 1,695.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.