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Finding the Fourth Proportional to 2,813.71, 4,220.68 and 1,058.53

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Solution

The fourth proportional to 2,813.71, 4,220.68 and 1,058.53 is: 1,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.71 : 4,220.68 = 1,058.53 : x
  2. Step 2: Convert to fraction form
    2,813.71/4,220.68 = 1,058.53/x
  3. Step 3: Cross multiply
    2,813.71x = 4,220.68 × 1,058.53
  4. Step 4: Simplify right side
    2,813.71x = 4,467,722.01
  5. Step 5: Solve for x
    x = 4,467,722.01/2,813.71
  6. Step 6: Final answer
    x = 1,587.84

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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.