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Finding the Fourth Proportional to 2,281.11, 3,421.63 and 742.11

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Solution

The fourth proportional to 2,281.11, 3,421.63 and 742.11 is: 1,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.11 : 3,421.63 = 742.11 : x
  2. Step 2: Convert to fraction form
    2,281.11/3,421.63 = 742.11/x
  3. Step 3: Cross multiply
    2,281.11x = 3,421.63 × 742.11
  4. Step 4: Simplify right side
    2,281.11x = 2,539,225.84
  5. Step 5: Solve for x
    x = 2,539,225.84/2,281.11
  6. Step 6: Final answer
    x = 1,113.15

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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.