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Finding the Fourth Proportional to 3,034.52, 4,550.16 and 954.14

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Solution

The fourth proportional to 3,034.52, 4,550.16 and 954.14 is: 1,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.52 : 4,550.16 = 954.14 : x
  2. Step 2: Convert to fraction form
    3,034.52/4,550.16 = 954.14/x
  3. Step 3: Cross multiply
    3,034.52x = 4,550.16 × 954.14
  4. Step 4: Simplify right side
    3,034.52x = 4,341,489.66
  5. Step 5: Solve for x
    x = 4,341,489.66/3,034.52
  6. Step 6: Final answer
    x = 1,430.70

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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.