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Finding the Fourth Proportional to 3,031.74, 4,547.81 and 951.83

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Solution

The fourth proportional to 3,031.74, 4,547.81 and 951.83 is: 1,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.74 : 4,547.81 = 951.83 : x
  2. Step 2: Convert to fraction form
    3,031.74/4,547.81 = 951.83/x
  3. Step 3: Cross multiply
    3,031.74x = 4,547.81 × 951.83
  4. Step 4: Simplify right side
    3,031.74x = 4,328,735.12
  5. Step 5: Solve for x
    x = 4,328,735.12/3,031.74
  6. Step 6: Final answer
    x = 1,427.80

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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.