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Finding the Fourth Proportional to 3,077.76, 4,610.88 and 1,618.08

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Solution

The fourth proportional to 3,077.76, 4,610.88 and 1,618.08 is: 2,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.76 : 4,610.88 = 1,618.08 : x
  2. Step 2: Convert to fraction form
    3,077.76/4,610.88 = 1,618.08/x
  3. Step 3: Cross multiply
    3,077.76x = 4,610.88 × 1,618.08
  4. Step 4: Simplify right side
    3,077.76x = 7,460,772.71
  5. Step 5: Solve for x
    x = 7,460,772.71/3,077.76
  6. Step 6: Final answer
    x = 2,424.09

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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.