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Finding the Fourth Proportional to 2,301.48, 3,435.48 and 2,009.88

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Solution

The fourth proportional to 2,301.48, 3,435.48 and 2,009.88 is: 3,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.48 : 3,435.48 = 2,009.88 : x
  2. Step 2: Convert to fraction form
    2,301.48/3,435.48 = 2,009.88/x
  3. Step 3: Cross multiply
    2,301.48x = 3,435.48 × 2,009.88
  4. Step 4: Simplify right side
    2,301.48x = 6,904,902.54
  5. Step 5: Solve for x
    x = 6,904,902.54/2,301.48
  6. Step 6: Final answer
    x = 3,000.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.