Home / 1,972.86-2,952.99-1,387.14

Finding the Fourth Proportional to 1,972.86, 2,952.99 and 1,387.14

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Solution

The fourth proportional to 1,972.86, 2,952.99 and 1,387.14 is: 2,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.86 : 2,952.99 = 1,387.14 : x
  2. Step 2: Convert to fraction form
    1,972.86/2,952.99 = 1,387.14/x
  3. Step 3: Cross multiply
    1,972.86x = 2,952.99 × 1,387.14
  4. Step 4: Simplify right side
    1,972.86x = 4,096,210.55
  5. Step 5: Solve for x
    x = 4,096,210.55/1,972.86
  6. Step 6: Final answer
    x = 2,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.