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Finding the Fourth Proportional to 3,034.58, 4,551.86 and 954.76

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Solution

The fourth proportional to 3,034.58, 4,551.86 and 954.76 is: 1,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.58 : 4,551.86 = 954.76 : x
  2. Step 2: Convert to fraction form
    3,034.58/4,551.86 = 954.76/x
  3. Step 3: Cross multiply
    3,034.58x = 4,551.86 × 954.76
  4. Step 4: Simplify right side
    3,034.58x = 4,345,933.85
  5. Step 5: Solve for x
    x = 4,345,933.85/3,034.58
  6. Step 6: Final answer
    x = 1,432.14

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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.