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Finding the Fourth Proportional to 2,521.09, 3,782.04 and 877.69

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Solution

The fourth proportional to 2,521.09, 3,782.04 and 877.69 is: 1,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.09 : 3,782.04 = 877.69 : x
  2. Step 2: Convert to fraction form
    2,521.09/3,782.04 = 877.69/x
  3. Step 3: Cross multiply
    2,521.09x = 3,782.04 × 877.69
  4. Step 4: Simplify right side
    2,521.09x = 3,319,458.69
  5. Step 5: Solve for x
    x = 3,319,458.69/2,521.09
  6. Step 6: Final answer
    x = 1,316.68

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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.