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Finding the Fourth Proportional to 2,058.57, 2,839.71 and 1,560.33

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Solution

The fourth proportional to 2,058.57, 2,839.71 and 1,560.33 is: 2,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.57 : 2,839.71 = 1,560.33 : x
  2. Step 2: Convert to fraction form
    2,058.57/2,839.71 = 1,560.33/x
  3. Step 3: Cross multiply
    2,058.57x = 2,839.71 × 1,560.33
  4. Step 4: Simplify right side
    2,058.57x = 4,430,884.70
  5. Step 5: Solve for x
    x = 4,430,884.70/2,058.57
  6. Step 6: Final answer
    x = 2,152.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.