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Finding the Fourth Proportional to 2,281.23, 3,421.54 and 721.39

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Solution

The fourth proportional to 2,281.23, 3,421.54 and 721.39 is: 1,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.23 : 3,421.54 = 721.39 : x
  2. Step 2: Convert to fraction form
    2,281.23/3,421.54 = 721.39/x
  3. Step 3: Cross multiply
    2,281.23x = 3,421.54 × 721.39
  4. Step 4: Simplify right side
    2,281.23x = 2,468,247.63
  5. Step 5: Solve for x
    x = 2,468,247.63/2,281.23
  6. Step 6: Final answer
    x = 1,081.98

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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.