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Finding the Fourth Proportional to 2,877.84, 3,968.28 and 1,944.72

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Solution

The fourth proportional to 2,877.84, 3,968.28 and 1,944.72 is: 2,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.84 : 3,968.28 = 1,944.72 : x
  2. Step 2: Convert to fraction form
    2,877.84/3,968.28 = 1,944.72/x
  3. Step 3: Cross multiply
    2,877.84x = 3,968.28 × 1,944.72
  4. Step 4: Simplify right side
    2,877.84x = 7,717,193.48
  5. Step 5: Solve for x
    x = 7,717,193.48/2,877.84
  6. Step 6: Final answer
    x = 2,681.59

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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.