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Finding the Fourth Proportional to 3,044.80, 4,567 and 992.80

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Solution

The fourth proportional to 3,044.80, 4,567 and 992.80 is: 1,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.80 : 4,567 = 992.80 : x
  2. Step 2: Convert to fraction form
    3,044.80/4,567 = 992.80/x
  3. Step 3: Cross multiply
    3,044.80x = 4,567 × 992.80
  4. Step 4: Simplify right side
    3,044.80x = 4,534,117.60
  5. Step 5: Solve for x
    x = 4,534,117.60/3,044.80
  6. Step 6: Final answer
    x = 1,489.13

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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.