Home / 1,423.20-1,965.90-1,160.76

Finding the Fourth Proportional to 1,423.20, 1,965.90 and 1,160.76

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Solution

The fourth proportional to 1,423.20, 1,965.90 and 1,160.76 is: 1,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.20 : 1,965.90 = 1,160.76 : x
  2. Step 2: Convert to fraction form
    1,423.20/1,965.90 = 1,160.76/x
  3. Step 3: Cross multiply
    1,423.20x = 1,965.90 × 1,160.76
  4. Step 4: Simplify right side
    1,423.20x = 2,281,938.08
  5. Step 5: Solve for x
    x = 2,281,938.08/1,423.20
  6. Step 6: Final answer
    x = 1,603.39

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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.