Home / 2,354.40-3,531.62-710.96

Finding the Fourth Proportional to 2,354.40, 3,531.62 and 710.96

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Solution

The fourth proportional to 2,354.40, 3,531.62 and 710.96 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.40 : 3,531.62 = 710.96 : x
  2. Step 2: Convert to fraction form
    2,354.40/3,531.62 = 710.96/x
  3. Step 3: Cross multiply
    2,354.40x = 3,531.62 × 710.96
  4. Step 4: Simplify right side
    2,354.40x = 2,510,819.34
  5. Step 5: Solve for x
    x = 2,510,819.34/2,354.40
  6. Step 6: Final answer
    x = 1,066.44

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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.