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Finding the Fourth Proportional to 2,686.34, 3,707.35 and 1,507.48

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Solution

The fourth proportional to 2,686.34, 3,707.35 and 1,507.48 is: 2,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.34 : 3,707.35 = 1,507.48 : x
  2. Step 2: Convert to fraction form
    2,686.34/3,707.35 = 1,507.48/x
  3. Step 3: Cross multiply
    2,686.34x = 3,707.35 × 1,507.48
  4. Step 4: Simplify right side
    2,686.34x = 5,588,742.94
  5. Step 5: Solve for x
    x = 5,588,742.94/2,686.34
  6. Step 6: Final answer
    x = 2,080.43

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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.