Home / 2,742.13-3,784.14-1,500.13

Finding the Fourth Proportional to 2,742.13, 3,784.14 and 1,500.13

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Solution

The fourth proportional to 2,742.13, 3,784.14 and 1,500.13 is: 2,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.13 : 3,784.14 = 1,500.13 : x
  2. Step 2: Convert to fraction form
    2,742.13/3,784.14 = 1,500.13/x
  3. Step 3: Cross multiply
    2,742.13x = 3,784.14 × 1,500.13
  4. Step 4: Simplify right side
    2,742.13x = 5,676,675.52
  5. Step 5: Solve for x
    x = 5,676,675.52/2,742.13
  6. Step 6: Final answer
    x = 2,070.17

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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.