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Finding the Fourth Proportional to 2,155.64, 2,968.88 and 1,860.80

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Solution

The fourth proportional to 2,155.64, 2,968.88 and 1,860.80 is: 2,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.64 : 2,968.88 = 1,860.80 : x
  2. Step 2: Convert to fraction form
    2,155.64/2,968.88 = 1,860.80/x
  3. Step 3: Cross multiply
    2,155.64x = 2,968.88 × 1,860.80
  4. Step 4: Simplify right side
    2,155.64x = 5,524,491.90
  5. Step 5: Solve for x
    x = 5,524,491.90/2,155.64
  6. Step 6: Final answer
    x = 2,562.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.