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Finding the Fourth Proportional to 2,521.34, 3,778.92 and 875.98

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Solution

The fourth proportional to 2,521.34, 3,778.92 and 875.98 is: 1,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.34 : 3,778.92 = 875.98 : x
  2. Step 2: Convert to fraction form
    2,521.34/3,778.92 = 875.98/x
  3. Step 3: Cross multiply
    2,521.34x = 3,778.92 × 875.98
  4. Step 4: Simplify right side
    2,521.34x = 3,310,263.07
  5. Step 5: Solve for x
    x = 3,310,263.07/2,521.34
  6. Step 6: Final answer
    x = 1,312.90

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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.