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Finding the Fourth Proportional to 1,602.52, 2,208.42 and 1,104.26

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Solution

The fourth proportional to 1,602.52, 2,208.42 and 1,104.26 is: 1,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.52 : 2,208.42 = 1,104.26 : x
  2. Step 2: Convert to fraction form
    1,602.52/2,208.42 = 1,104.26/x
  3. Step 3: Cross multiply
    1,602.52x = 2,208.42 × 1,104.26
  4. Step 4: Simplify right side
    1,602.52x = 2,438,658.83
  5. Step 5: Solve for x
    x = 2,438,658.83/1,602.52
  6. Step 6: Final answer
    x = 1,521.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.