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Finding the Fourth Proportional to 2,686.40, 3,707.14 and 1,491.44

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Solution

The fourth proportional to 2,686.40, 3,707.14 and 1,491.44 is: 2,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.40 : 3,707.14 = 1,491.44 : x
  2. Step 2: Convert to fraction form
    2,686.40/3,707.14 = 1,491.44/x
  3. Step 3: Cross multiply
    2,686.40x = 3,707.14 × 1,491.44
  4. Step 4: Simplify right side
    2,686.40x = 5,528,965.72
  5. Step 5: Solve for x
    x = 5,528,965.72/2,686.40
  6. Step 6: Final answer
    x = 2,058.13

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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.