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Finding the Fourth Proportional to 3,412.70, 4,707 and 2,085.31

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Solution

The fourth proportional to 3,412.70, 4,707 and 2,085.31 is: 2,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.70 : 4,707 = 2,085.31 : x
  2. Step 2: Convert to fraction form
    3,412.70/4,707 = 2,085.31/x
  3. Step 3: Cross multiply
    3,412.70x = 4,707 × 2,085.31
  4. Step 4: Simplify right side
    3,412.70x = 9,815,554.17
  5. Step 5: Solve for x
    x = 9,815,554.17/3,412.70
  6. Step 6: Final answer
    x = 2,876.18

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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.