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Finding the Fourth Proportional to 3,031.41, 4,547.12 and 951.43

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Solution

The fourth proportional to 3,031.41, 4,547.12 and 951.43 is: 1,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.41 : 4,547.12 = 951.43 : x
  2. Step 2: Convert to fraction form
    3,031.41/4,547.12 = 951.43/x
  3. Step 3: Cross multiply
    3,031.41x = 4,547.12 × 951.43
  4. Step 4: Simplify right side
    3,031.41x = 4,326,266.38
  5. Step 5: Solve for x
    x = 4,326,266.38/3,031.41
  6. Step 6: Final answer
    x = 1,427.15

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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.