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Finding the Fourth Proportional to 2,686.42, 3,707.31 and 1,507.42

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Solution

The fourth proportional to 2,686.42, 3,707.31 and 1,507.42 is: 2,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.42 : 3,707.31 = 1,507.42 : x
  2. Step 2: Convert to fraction form
    2,686.42/3,707.31 = 1,507.42/x
  3. Step 3: Cross multiply
    2,686.42x = 3,707.31 × 1,507.42
  4. Step 4: Simplify right side
    2,686.42x = 5,588,473.24
  5. Step 5: Solve for x
    x = 5,588,473.24/2,686.42
  6. Step 6: Final answer
    x = 2,080.27

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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.