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Finding the Fourth Proportional to 3,451.74, 5,178.48 and 986.77

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Solution

The fourth proportional to 3,451.74, 5,178.48 and 986.77 is: 1,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.74 : 5,178.48 = 986.77 : x
  2. Step 2: Convert to fraction form
    3,451.74/5,178.48 = 986.77/x
  3. Step 3: Cross multiply
    3,451.74x = 5,178.48 × 986.77
  4. Step 4: Simplify right side
    3,451.74x = 5,109,969.75
  5. Step 5: Solve for x
    x = 5,109,969.75/3,451.74
  6. Step 6: Final answer
    x = 1,480.40

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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.