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Finding the Fourth Proportional to 2,603.80, 3,905.68 and 1,878

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Solution

The fourth proportional to 2,603.80, 3,905.68 and 1,878 is: 2,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.80 : 3,905.68 = 1,878 : x
  2. Step 2: Convert to fraction form
    2,603.80/3,905.68 = 1,878/x
  3. Step 3: Cross multiply
    2,603.80x = 3,905.68 × 1,878
  4. Step 4: Simplify right side
    2,603.80x = 7,334,867.04
  5. Step 5: Solve for x
    x = 7,334,867.04/2,603.80
  6. Step 6: Final answer
    x = 2,816.99

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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.