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Finding the Fourth Proportional to 2,395.84, 3,594.48 and 1,009.78

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Solution

The fourth proportional to 2,395.84, 3,594.48 and 1,009.78 is: 1,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.84 : 3,594.48 = 1,009.78 : x
  2. Step 2: Convert to fraction form
    2,395.84/3,594.48 = 1,009.78/x
  3. Step 3: Cross multiply
    2,395.84x = 3,594.48 × 1,009.78
  4. Step 4: Simplify right side
    2,395.84x = 3,629,634.01
  5. Step 5: Solve for x
    x = 3,629,634.01/2,395.84
  6. Step 6: Final answer
    x = 1,514.97

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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.