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Finding the Fourth Proportional to 3,032.44, 4,547.04 and 951.87

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Solution

The fourth proportional to 3,032.44, 4,547.04 and 951.87 is: 1,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.44 : 4,547.04 = 951.87 : x
  2. Step 2: Convert to fraction form
    3,032.44/4,547.04 = 951.87/x
  3. Step 3: Cross multiply
    3,032.44x = 4,547.04 × 951.87
  4. Step 4: Simplify right side
    3,032.44x = 4,328,178.87
  5. Step 5: Solve for x
    x = 4,328,178.87/3,032.44
  6. Step 6: Final answer
    x = 1,427.29

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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.