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Finding the Fourth Proportional to 2,365.64, 3,544.29 and 2,107.93

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Solution

The fourth proportional to 2,365.64, 3,544.29 and 2,107.93 is: 3,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.64 : 3,544.29 = 2,107.93 : x
  2. Step 2: Convert to fraction form
    2,365.64/3,544.29 = 2,107.93/x
  3. Step 3: Cross multiply
    2,365.64x = 3,544.29 × 2,107.93
  4. Step 4: Simplify right side
    2,365.64x = 7,471,112.39
  5. Step 5: Solve for x
    x = 7,471,112.39/2,365.64
  6. Step 6: Final answer
    x = 3,158.18

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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.