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Finding the Fourth Proportional to 2,058.82, 2,839.76 and 1,271.50

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Solution

The fourth proportional to 2,058.82, 2,839.76 and 1,271.50 is: 1,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.82 : 2,839.76 = 1,271.50 : x
  2. Step 2: Convert to fraction form
    2,058.82/2,839.76 = 1,271.50/x
  3. Step 3: Cross multiply
    2,058.82x = 2,839.76 × 1,271.50
  4. Step 4: Simplify right side
    2,058.82x = 3,610,746.15
  5. Step 5: Solve for x
    x = 3,610,746.15/2,058.82
  6. Step 6: Final answer
    x = 1,753.80

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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.