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Finding the Fourth Proportional to 3,148.80, 4,723.02 and 840.24

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Solution

The fourth proportional to 3,148.80, 4,723.02 and 840.24 is: 1,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.80 : 4,723.02 = 840.24 : x
  2. Step 2: Convert to fraction form
    3,148.80/4,723.02 = 840.24/x
  3. Step 3: Cross multiply
    3,148.80x = 4,723.02 × 840.24
  4. Step 4: Simplify right side
    3,148.80x = 3,968,470.32
  5. Step 5: Solve for x
    x = 3,968,470.32/3,148.80
  6. Step 6: Final answer
    x = 1,260.31

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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.