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Finding the Fourth Proportional to 2,854.74, 4,276.56 and 1,618.40

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Solution

The fourth proportional to 2,854.74, 4,276.56 and 1,618.40 is: 2,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.74 : 4,276.56 = 1,618.40 : x
  2. Step 2: Convert to fraction form
    2,854.74/4,276.56 = 1,618.40/x
  3. Step 3: Cross multiply
    2,854.74x = 4,276.56 × 1,618.40
  4. Step 4: Simplify right side
    2,854.74x = 6,921,184.70
  5. Step 5: Solve for x
    x = 6,921,184.70/2,854.74
  6. Step 6: Final answer
    x = 2,424.45

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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.