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Finding the Fourth Proportional to 2,208.61, 3,312.92 and 747.77

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Solution

The fourth proportional to 2,208.61, 3,312.92 and 747.77 is: 1,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.61 : 3,312.92 = 747.77 : x
  2. Step 2: Convert to fraction form
    2,208.61/3,312.92 = 747.77/x
  3. Step 3: Cross multiply
    2,208.61x = 3,312.92 × 747.77
  4. Step 4: Simplify right side
    2,208.61x = 2,477,312.34
  5. Step 5: Solve for x
    x = 2,477,312.34/2,208.61
  6. Step 6: Final answer
    x = 1,121.66

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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.