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Finding the Fourth Proportional to 1,603.09, 2,401.52 and 1,053.61

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Solution

The fourth proportional to 1,603.09, 2,401.52 and 1,053.61 is: 1,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.09 : 2,401.52 = 1,053.61 : x
  2. Step 2: Convert to fraction form
    1,603.09/2,401.52 = 1,053.61/x
  3. Step 3: Cross multiply
    1,603.09x = 2,401.52 × 1,053.61
  4. Step 4: Simplify right side
    1,603.09x = 2,530,256.11
  5. Step 5: Solve for x
    x = 2,530,256.11/1,603.09
  6. Step 6: Final answer
    x = 1,578.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.