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Finding the Fourth Proportional to 3,148.70, 4,345.43 and 2,084.63

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Solution

The fourth proportional to 3,148.70, 4,345.43 and 2,084.63 is: 2,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.70 : 4,345.43 = 2,084.63 : x
  2. Step 2: Convert to fraction form
    3,148.70/4,345.43 = 2,084.63/x
  3. Step 3: Cross multiply
    3,148.70x = 4,345.43 × 2,084.63
  4. Step 4: Simplify right side
    3,148.70x = 9,058,581.59
  5. Step 5: Solve for x
    x = 9,058,581.59/3,148.70
  6. Step 6: Final answer
    x = 2,876.93

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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.