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Finding the Fourth Proportional to 3,117.48, 4,675.68 and 808.98

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Solution

The fourth proportional to 3,117.48, 4,675.68 and 808.98 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.48 : 4,675.68 = 808.98 : x
  2. Step 2: Convert to fraction form
    3,117.48/4,675.68 = 808.98/x
  3. Step 3: Cross multiply
    3,117.48x = 4,675.68 × 808.98
  4. Step 4: Simplify right side
    3,117.48x = 3,782,531.61
  5. Step 5: Solve for x
    x = 3,782,531.61/3,117.48
  6. Step 6: Final answer
    x = 1,213.33

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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.