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Finding the Fourth Proportional to 3,117.10, 4,675.65 and 808.60

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Solution

The fourth proportional to 3,117.10, 4,675.65 and 808.60 is: 1,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.10 : 4,675.65 = 808.60 : x
  2. Step 2: Convert to fraction form
    3,117.10/4,675.65 = 808.60/x
  3. Step 3: Cross multiply
    3,117.10x = 4,675.65 × 808.60
  4. Step 4: Simplify right side
    3,117.10x = 3,780,730.59
  5. Step 5: Solve for x
    x = 3,780,730.59/3,117.10
  6. Step 6: Final answer
    x = 1,212.90

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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.