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Finding the Fourth Proportional to 3,184.65, 4,776.16 and 992.25

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Solution

The fourth proportional to 3,184.65, 4,776.16 and 992.25 is: 1,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.65 : 4,776.16 = 992.25 : x
  2. Step 2: Convert to fraction form
    3,184.65/4,776.16 = 992.25/x
  3. Step 3: Cross multiply
    3,184.65x = 4,776.16 × 992.25
  4. Step 4: Simplify right side
    3,184.65x = 4,739,144.76
  5. Step 5: Solve for x
    x = 4,739,144.76/3,184.65
  6. Step 6: Final answer
    x = 1,488.12

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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.