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Finding the Fourth Proportional to 3,026.72, 4,540.08 and 946.72

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Solution

The fourth proportional to 3,026.72, 4,540.08 and 946.72 is: 1,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.72 : 4,540.08 = 946.72 : x
  2. Step 2: Convert to fraction form
    3,026.72/4,540.08 = 946.72/x
  3. Step 3: Cross multiply
    3,026.72x = 4,540.08 × 946.72
  4. Step 4: Simplify right side
    3,026.72x = 4,298,184.54
  5. Step 5: Solve for x
    x = 4,298,184.54/3,026.72
  6. Step 6: Final answer
    x = 1,420.08

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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.