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Finding the Fourth Proportional to 2,842.56, 4,263.48 and 993.53

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Solution

The fourth proportional to 2,842.56, 4,263.48 and 993.53 is: 1,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.56 : 4,263.48 = 993.53 : x
  2. Step 2: Convert to fraction form
    2,842.56/4,263.48 = 993.53/x
  3. Step 3: Cross multiply
    2,842.56x = 4,263.48 × 993.53
  4. Step 4: Simplify right side
    2,842.56x = 4,235,873.97
  5. Step 5: Solve for x
    x = 4,235,873.97/2,842.56
  6. Step 6: Final answer
    x = 1,490.16

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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.