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Finding the Fourth Proportional to 2,837.76, 4,249 and 1,603.32

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Solution

The fourth proportional to 2,837.76, 4,249 and 1,603.32 is: 2,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.76 : 4,249 = 1,603.32 : x
  2. Step 2: Convert to fraction form
    2,837.76/4,249 = 1,603.32/x
  3. Step 3: Cross multiply
    2,837.76x = 4,249 × 1,603.32
  4. Step 4: Simplify right side
    2,837.76x = 6,812,506.68
  5. Step 5: Solve for x
    x = 6,812,506.68/2,837.76
  6. Step 6: Final answer
    x = 2,400.66

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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.