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Finding the Fourth Proportional to 3,066.78, 4,600.63 and 1,423.50

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Solution

The fourth proportional to 3,066.78, 4,600.63 and 1,423.50 is: 2,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.78 : 4,600.63 = 1,423.50 : x
  2. Step 2: Convert to fraction form
    3,066.78/4,600.63 = 1,423.50/x
  3. Step 3: Cross multiply
    3,066.78x = 4,600.63 × 1,423.50
  4. Step 4: Simplify right side
    3,066.78x = 6,548,973.80
  5. Step 5: Solve for x
    x = 6,548,973.80/3,066.78
  6. Step 6: Final answer
    x = 2,135.46

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1.5x scale

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.