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Finding the Fourth Proportional to 2,058.48, 2,841.17 and 1,312.29

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Solution

The fourth proportional to 2,058.48, 2,841.17 and 1,312.29 is: 1,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.48 : 2,841.17 = 1,312.29 : x
  2. Step 2: Convert to fraction form
    2,058.48/2,841.17 = 1,312.29/x
  3. Step 3: Cross multiply
    2,058.48x = 2,841.17 × 1,312.29
  4. Step 4: Simplify right side
    2,058.48x = 3,728,432.42
  5. Step 5: Solve for x
    x = 3,728,432.42/2,058.48
  6. Step 6: Final answer
    x = 1,811.26

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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.