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Finding the Fourth Proportional to 2,395.82, 3,594.14 and 1,097.40

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Solution

The fourth proportional to 2,395.82, 3,594.14 and 1,097.40 is: 1,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.82 : 3,594.14 = 1,097.40 : x
  2. Step 2: Convert to fraction form
    2,395.82/3,594.14 = 1,097.40/x
  3. Step 3: Cross multiply
    2,395.82x = 3,594.14 × 1,097.40
  4. Step 4: Simplify right side
    2,395.82x = 3,944,209.24
  5. Step 5: Solve for x
    x = 3,944,209.24/2,395.82
  6. Step 6: Final answer
    x = 1,646.29

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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.