Home / 1,631.85-2,447.62-707.23

Finding the Fourth Proportional to 1,631.85, 2,447.62 and 707.23

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Solution

The fourth proportional to 1,631.85, 2,447.62 and 707.23 is: 1,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.85 : 2,447.62 = 707.23 : x
  2. Step 2: Convert to fraction form
    1,631.85/2,447.62 = 707.23/x
  3. Step 3: Cross multiply
    1,631.85x = 2,447.62 × 707.23
  4. Step 4: Simplify right side
    1,631.85x = 1,731,031.58
  5. Step 5: Solve for x
    x = 1,731,031.58/1,631.85
  6. Step 6: Final answer
    x = 1,060.78

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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.