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Finding the Fourth Proportional to 2,701.71, 4,051.67 and 1,058.85

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Solution

The fourth proportional to 2,701.71, 4,051.67 and 1,058.85 is: 1,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.71 : 4,051.67 = 1,058.85 : x
  2. Step 2: Convert to fraction form
    2,701.71/4,051.67 = 1,058.85/x
  3. Step 3: Cross multiply
    2,701.71x = 4,051.67 × 1,058.85
  4. Step 4: Simplify right side
    2,701.71x = 4,290,105.49
  5. Step 5: Solve for x
    x = 4,290,105.49/2,701.71
  6. Step 6: Final answer
    x = 1,587.92

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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.