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Finding the Fourth Proportional to 3,031.74, 4,548.08 and 951.93

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Solution

The fourth proportional to 3,031.74, 4,548.08 and 951.93 is: 1,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.74 : 4,548.08 = 951.93 : x
  2. Step 2: Convert to fraction form
    3,031.74/4,548.08 = 951.93/x
  3. Step 3: Cross multiply
    3,031.74x = 4,548.08 × 951.93
  4. Step 4: Simplify right side
    3,031.74x = 4,329,449.03
  5. Step 5: Solve for x
    x = 4,329,449.03/3,031.74
  6. Step 6: Final answer
    x = 1,428.04

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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.