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Finding the Fourth Proportional to 2,230.74, 3,347.02 and 770.01

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Solution

The fourth proportional to 2,230.74, 3,347.02 and 770.01 is: 1,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.74 : 3,347.02 = 770.01 : x
  2. Step 2: Convert to fraction form
    2,230.74/3,347.02 = 770.01/x
  3. Step 3: Cross multiply
    2,230.74x = 3,347.02 × 770.01
  4. Step 4: Simplify right side
    2,230.74x = 2,577,227.28
  5. Step 5: Solve for x
    x = 2,577,227.28/2,230.74
  6. Step 6: Final answer
    x = 1,155.32

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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.