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Finding the Fourth Proportional to 4,281.69, 6,422.01 and 1,161.50

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Solution

The fourth proportional to 4,281.69, 6,422.01 and 1,161.50 is: 1,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.69 : 6,422.01 = 1,161.50 : x
  2. Step 2: Convert to fraction form
    4,281.69/6,422.01 = 1,161.50/x
  3. Step 3: Cross multiply
    4,281.69x = 6,422.01 × 1,161.50
  4. Step 4: Simplify right side
    4,281.69x = 7,459,156.59
  5. Step 5: Solve for x
    x = 7,459,156.59/4,281.69
  6. Step 6: Final answer
    x = 1,742.11

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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.