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Finding the Fourth Proportional to 1,603.18, 2,404.09 and 985.96

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Solution

The fourth proportional to 1,603.18, 2,404.09 and 985.96 is: 1,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.18 : 2,404.09 = 985.96 : x
  2. Step 2: Convert to fraction form
    1,603.18/2,404.09 = 985.96/x
  3. Step 3: Cross multiply
    1,603.18x = 2,404.09 × 985.96
  4. Step 4: Simplify right side
    1,603.18x = 2,370,336.58
  5. Step 5: Solve for x
    x = 2,370,336.58/1,603.18
  6. Step 6: Final answer
    x = 1,478.52

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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.