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Finding the Fourth Proportional to 2,521.63, 3,778.26 and 877.29

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Solution

The fourth proportional to 2,521.63, 3,778.26 and 877.29 is: 1,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.63 : 3,778.26 = 877.29 : x
  2. Step 2: Convert to fraction form
    2,521.63/3,778.26 = 877.29/x
  3. Step 3: Cross multiply
    2,521.63x = 3,778.26 × 877.29
  4. Step 4: Simplify right side
    2,521.63x = 3,314,610.82
  5. Step 5: Solve for x
    x = 3,314,610.82/2,521.63
  6. Step 6: Final answer
    x = 1,314.47

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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.