Home / 2,713.10-3,744-1,534.14

Finding the Fourth Proportional to 2,713.10, 3,744 and 1,534.14

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Solution

The fourth proportional to 2,713.10, 3,744 and 1,534.14 is: 2,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.10 : 3,744 = 1,534.14 : x
  2. Step 2: Convert to fraction form
    2,713.10/3,744 = 1,534.14/x
  3. Step 3: Cross multiply
    2,713.10x = 3,744 × 1,534.14
  4. Step 4: Simplify right side
    2,713.10x = 5,743,820.16
  5. Step 5: Solve for x
    x = 5,743,820.16/2,713.10
  6. Step 6: Final answer
    x = 2,117.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.