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Finding the Fourth Proportional to 3,034.51, 4,550.97 and 842.74

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Solution

The fourth proportional to 3,034.51, 4,550.97 and 842.74 is: 1,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.51 : 4,550.97 = 842.74 : x
  2. Step 2: Convert to fraction form
    3,034.51/4,550.97 = 842.74/x
  3. Step 3: Cross multiply
    3,034.51x = 4,550.97 × 842.74
  4. Step 4: Simplify right side
    3,034.51x = 3,835,284.46
  5. Step 5: Solve for x
    x = 3,835,284.46/3,034.51
  6. Step 6: Final answer
    x = 1,263.89

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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.