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Finding the Fourth Proportional to 1,842.48, 2,766.12 and 1,767.60

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Solution

The fourth proportional to 1,842.48, 2,766.12 and 1,767.60 is: 2,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.48 : 2,766.12 = 1,767.60 : x
  2. Step 2: Convert to fraction form
    1,842.48/2,766.12 = 1,767.60/x
  3. Step 3: Cross multiply
    1,842.48x = 2,766.12 × 1,767.60
  4. Step 4: Simplify right side
    1,842.48x = 4,889,393.71
  5. Step 5: Solve for x
    x = 4,889,393.71/1,842.48
  6. Step 6: Final answer
    x = 2,653.70

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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.