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Finding the Fourth Proportional to 1,877.94, 2,592.83 and 1,170.07

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Solution

The fourth proportional to 1,877.94, 2,592.83 and 1,170.07 is: 1,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.94 : 2,592.83 = 1,170.07 : x
  2. Step 2: Convert to fraction form
    1,877.94/2,592.83 = 1,170.07/x
  3. Step 3: Cross multiply
    1,877.94x = 2,592.83 × 1,170.07
  4. Step 4: Simplify right side
    1,877.94x = 3,033,789.04
  5. Step 5: Solve for x
    x = 3,033,789.04/1,877.94
  6. Step 6: Final answer
    x = 1,615.49

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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.