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Finding the Fourth Proportional to 2,756.60, 4,127.86 and 2,295.80

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Solution

The fourth proportional to 2,756.60, 4,127.86 and 2,295.80 is: 3,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.60 : 4,127.86 = 2,295.80 : x
  2. Step 2: Convert to fraction form
    2,756.60/4,127.86 = 2,295.80/x
  3. Step 3: Cross multiply
    2,756.60x = 4,127.86 × 2,295.80
  4. Step 4: Simplify right side
    2,756.60x = 9,476,740.99
  5. Step 5: Solve for x
    x = 9,476,740.99/2,756.60
  6. Step 6: Final answer
    x = 3,437.84

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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.