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Finding the Fourth Proportional to 2,752.29, 4,128.80 and 902.93

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Solution

The fourth proportional to 2,752.29, 4,128.80 and 902.93 is: 1,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.29 : 4,128.80 = 902.93 : x
  2. Step 2: Convert to fraction form
    2,752.29/4,128.80 = 902.93/x
  3. Step 3: Cross multiply
    2,752.29x = 4,128.80 × 902.93
  4. Step 4: Simplify right side
    2,752.29x = 3,727,992.23
  5. Step 5: Solve for x
    x = 3,727,992.23/2,752.29
  6. Step 6: Final answer
    x = 1,354.51

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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.