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Finding the Fourth Proportional to 2,854.38, 4,281.63 and 980.72

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Solution

The fourth proportional to 2,854.38, 4,281.63 and 980.72 is: 1,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.38 : 4,281.63 = 980.72 : x
  2. Step 2: Convert to fraction form
    2,854.38/4,281.63 = 980.72/x
  3. Step 3: Cross multiply
    2,854.38x = 4,281.63 × 980.72
  4. Step 4: Simplify right side
    2,854.38x = 4,199,058.77
  5. Step 5: Solve for x
    x = 4,199,058.77/2,854.38
  6. Step 6: Final answer
    x = 1,471.09

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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.