Home / 1,447.24-2,172.30-870.52

Finding the Fourth Proportional to 1,447.24, 2,172.30 and 870.52

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Solution

The fourth proportional to 1,447.24, 2,172.30 and 870.52 is: 1,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.24 : 2,172.30 = 870.52 : x
  2. Step 2: Convert to fraction form
    1,447.24/2,172.30 = 870.52/x
  3. Step 3: Cross multiply
    1,447.24x = 2,172.30 × 870.52
  4. Step 4: Simplify right side
    1,447.24x = 1,891,030.60
  5. Step 5: Solve for x
    x = 1,891,030.60/1,447.24
  6. Step 6: Final answer
    x = 1,306.65

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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.