Home / 1,543.42-2,315.94-929.17

Finding the Fourth Proportional to 1,543.42, 2,315.94 and 929.17

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Solution

The fourth proportional to 1,543.42, 2,315.94 and 929.17 is: 1,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.42 : 2,315.94 = 929.17 : x
  2. Step 2: Convert to fraction form
    1,543.42/2,315.94 = 929.17/x
  3. Step 3: Cross multiply
    1,543.42x = 2,315.94 × 929.17
  4. Step 4: Simplify right side
    1,543.42x = 2,151,901.97
  5. Step 5: Solve for x
    x = 2,151,901.97/1,543.42
  6. Step 6: Final answer
    x = 1,394.24

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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.