Home / 2,281.26-3,420.66-800.10

Finding the Fourth Proportional to 2,281.26, 3,420.66 and 800.10

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Solution

The fourth proportional to 2,281.26, 3,420.66 and 800.10 is: 1,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.26 : 3,420.66 = 800.10 : x
  2. Step 2: Convert to fraction form
    2,281.26/3,420.66 = 800.10/x
  3. Step 3: Cross multiply
    2,281.26x = 3,420.66 × 800.10
  4. Step 4: Simplify right side
    2,281.26x = 2,736,881.00
  5. Step 5: Solve for x
    x = 2,736,881.00/2,281.26
  6. Step 6: Final answer
    x = 1,199.72

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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.