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Finding the Fourth Proportional to 2,993.25, 4,486.13 and 1,603.14

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Solution

The fourth proportional to 2,993.25, 4,486.13 and 1,603.14 is: 2,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.25 : 4,486.13 = 1,603.14 : x
  2. Step 2: Convert to fraction form
    2,993.25/4,486.13 = 1,603.14/x
  3. Step 3: Cross multiply
    2,993.25x = 4,486.13 × 1,603.14
  4. Step 4: Simplify right side
    2,993.25x = 7,191,886.43
  5. Step 5: Solve for x
    x = 7,191,886.43/2,993.25
  6. Step 6: Final answer
    x = 2,402.70

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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.