Home / 1,987.07-2,742.12-1,102.86

Finding the Fourth Proportional to 1,987.07, 2,742.12 and 1,102.86

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Solution

The fourth proportional to 1,987.07, 2,742.12 and 1,102.86 is: 1,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.07 : 2,742.12 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    1,987.07/2,742.12 = 1,102.86/x
  3. Step 3: Cross multiply
    1,987.07x = 2,742.12 × 1,102.86
  4. Step 4: Simplify right side
    1,987.07x = 3,024,174.46
  5. Step 5: Solve for x
    x = 3,024,174.46/1,987.07
  6. Step 6: Final answer
    x = 1,521.93

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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.