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Finding the Fourth Proportional to 3,116.88, 4,677.34 and 1,657.06

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Solution

The fourth proportional to 3,116.88, 4,677.34 and 1,657.06 is: 2,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.88 : 4,677.34 = 1,657.06 : x
  2. Step 2: Convert to fraction form
    3,116.88/4,677.34 = 1,657.06/x
  3. Step 3: Cross multiply
    3,116.88x = 4,677.34 × 1,657.06
  4. Step 4: Simplify right side
    3,116.88x = 7,750,609.63
  5. Step 5: Solve for x
    x = 7,750,609.63/3,116.88
  6. Step 6: Final answer
    x = 2,486.66

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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.