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Finding the Fourth Proportional to 1,881.68, 2,594.76 and 1,259.60

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Solution

The fourth proportional to 1,881.68, 2,594.76 and 1,259.60 is: 1,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.68 : 2,594.76 = 1,259.60 : x
  2. Step 2: Convert to fraction form
    1,881.68/2,594.76 = 1,259.60/x
  3. Step 3: Cross multiply
    1,881.68x = 2,594.76 × 1,259.60
  4. Step 4: Simplify right side
    1,881.68x = 3,268,359.70
  5. Step 5: Solve for x
    x = 3,268,359.70/1,881.68
  6. Step 6: Final answer
    x = 1,736.94

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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.