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Finding the Fourth Proportional to 2,712.60, 4,070.86 and 2,097.80

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Solution

The fourth proportional to 2,712.60, 4,070.86 and 2,097.80 is: 3,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.60 : 4,070.86 = 2,097.80 : x
  2. Step 2: Convert to fraction form
    2,712.60/4,070.86 = 2,097.80/x
  3. Step 3: Cross multiply
    2,712.60x = 4,070.86 × 2,097.80
  4. Step 4: Simplify right side
    2,712.60x = 8,539,850.11
  5. Step 5: Solve for x
    x = 8,539,850.11/2,712.60
  6. Step 6: Final answer
    x = 3,148.22

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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.