Home / 1,675.76-2,312.42-929.66

Finding the Fourth Proportional to 1,675.76, 2,312.42 and 929.66

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Solution

The fourth proportional to 1,675.76, 2,312.42 and 929.66 is: 1,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.76 : 2,312.42 = 929.66 : x
  2. Step 2: Convert to fraction form
    1,675.76/2,312.42 = 929.66/x
  3. Step 3: Cross multiply
    1,675.76x = 2,312.42 × 929.66
  4. Step 4: Simplify right side
    1,675.76x = 2,149,748.17
  5. Step 5: Solve for x
    x = 2,149,748.17/1,675.76
  6. Step 6: Final answer
    x = 1,282.85

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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.