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Finding the Fourth Proportional to 4,184.76, 6,277.18 and 1,106.76

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Solution

The fourth proportional to 4,184.76, 6,277.18 and 1,106.76 is: 1,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.76 : 6,277.18 = 1,106.76 : x
  2. Step 2: Convert to fraction form
    4,184.76/6,277.18 = 1,106.76/x
  3. Step 3: Cross multiply
    4,184.76x = 6,277.18 × 1,106.76
  4. Step 4: Simplify right side
    4,184.76x = 6,947,331.74
  5. Step 5: Solve for x
    x = 6,947,331.74/4,184.76
  6. Step 6: Final answer
    x = 1,660.15

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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.