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Finding the Fourth Proportional to 3,014.40, 4,522.66 and 1,066.88

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Solution

The fourth proportional to 3,014.40, 4,522.66 and 1,066.88 is: 1,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.40 : 4,522.66 = 1,066.88 : x
  2. Step 2: Convert to fraction form
    3,014.40/4,522.66 = 1,066.88/x
  3. Step 3: Cross multiply
    3,014.40x = 4,522.66 × 1,066.88
  4. Step 4: Simplify right side
    3,014.40x = 4,825,135.50
  5. Step 5: Solve for x
    x = 4,825,135.50/3,014.40
  6. Step 6: Final answer
    x = 1,600.70

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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.