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Finding the Fourth Proportional to 1,468.39, 2,203.79 and 1,102.00

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Solution

The fourth proportional to 1,468.39, 2,203.79 and 1,102.00 is: 1,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.39 : 2,203.79 = 1,102.00 : x
  2. Step 2: Convert to fraction form
    1,468.39/2,203.79 = 1,102.00/x
  3. Step 3: Cross multiply
    1,468.39x = 2,203.79 × 1,102.00
  4. Step 4: Simplify right side
    1,468.39x = 2,428,568.32
  5. Step 5: Solve for x
    x = 2,428,568.32/1,468.39
  6. Step 6: Final answer
    x = 1,653.90

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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.