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Finding the Fourth Proportional to 2,521.49, 3,783.95 and 878.03

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Solution

The fourth proportional to 2,521.49, 3,783.95 and 878.03 is: 1,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.49 : 3,783.95 = 878.03 : x
  2. Step 2: Convert to fraction form
    2,521.49/3,783.95 = 878.03/x
  3. Step 3: Cross multiply
    2,521.49x = 3,783.95 × 878.03
  4. Step 4: Simplify right side
    2,521.49x = 3,322,417.23
  5. Step 5: Solve for x
    x = 3,322,417.23/2,521.49
  6. Step 6: Final answer
    x = 1,317.64

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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.