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Finding the Fourth Proportional to 2,184.52, 3,014.74 and 1,288.76

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Solution

The fourth proportional to 2,184.52, 3,014.74 and 1,288.76 is: 1,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.52 : 3,014.74 = 1,288.76 : x
  2. Step 2: Convert to fraction form
    2,184.52/3,014.74 = 1,288.76/x
  3. Step 3: Cross multiply
    2,184.52x = 3,014.74 × 1,288.76
  4. Step 4: Simplify right side
    2,184.52x = 3,885,276.32
  5. Step 5: Solve for x
    x = 3,885,276.32/2,184.52
  6. Step 6: Final answer
    x = 1,778.55

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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.