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Finding the Fourth Proportional to 2,730.60, 4,087.80 and 2,406.60

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Solution

The fourth proportional to 2,730.60, 4,087.80 and 2,406.60 is: 3,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.60 : 4,087.80 = 2,406.60 : x
  2. Step 2: Convert to fraction form
    2,730.60/4,087.80 = 2,406.60/x
  3. Step 3: Cross multiply
    2,730.60x = 4,087.80 × 2,406.60
  4. Step 4: Simplify right side
    2,730.60x = 9,837,699.48
  5. Step 5: Solve for x
    x = 9,837,699.48/2,730.60
  6. Step 6: Final answer
    x = 3,602.76

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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.