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Finding the Fourth Proportional to 2,058.13, 3,087.10 and 671.46

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Solution

The fourth proportional to 2,058.13, 3,087.10 and 671.46 is: 1,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.13 : 3,087.10 = 671.46 : x
  2. Step 2: Convert to fraction form
    2,058.13/3,087.10 = 671.46/x
  3. Step 3: Cross multiply
    2,058.13x = 3,087.10 × 671.46
  4. Step 4: Simplify right side
    2,058.13x = 2,072,864.17
  5. Step 5: Solve for x
    x = 2,072,864.17/2,058.13
  6. Step 6: Final answer
    x = 1,007.16

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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.