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Finding the Fourth Proportional to 3,044.80, 4,567.52 and 992.32

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Solution

The fourth proportional to 3,044.80, 4,567.52 and 992.32 is: 1,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.80 : 4,567.52 = 992.32 : x
  2. Step 2: Convert to fraction form
    3,044.80/4,567.52 = 992.32/x
  3. Step 3: Cross multiply
    3,044.80x = 4,567.52 × 992.32
  4. Step 4: Simplify right side
    3,044.80x = 4,532,441.45
  5. Step 5: Solve for x
    x = 4,532,441.45/3,044.80
  6. Step 6: Final answer
    x = 1,488.58

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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.