Home / 2,084.07-3,114.15-1,587.72

Finding the Fourth Proportional to 2,084.07, 3,114.15 and 1,587.72

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Solution

The fourth proportional to 2,084.07, 3,114.15 and 1,587.72 is: 2,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.07 : 3,114.15 = 1,587.72 : x
  2. Step 2: Convert to fraction form
    2,084.07/3,114.15 = 1,587.72/x
  3. Step 3: Cross multiply
    2,084.07x = 3,114.15 × 1,587.72
  4. Step 4: Simplify right side
    2,084.07x = 4,944,398.24
  5. Step 5: Solve for x
    x = 4,944,398.24/2,084.07
  6. Step 6: Final answer
    x = 2,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.