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Finding the Fourth Proportional to 1,881.88, 2,824.62 and 1,439

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Solution

The fourth proportional to 1,881.88, 2,824.62 and 1,439 is: 2,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.88 : 2,824.62 = 1,439 : x
  2. Step 2: Convert to fraction form
    1,881.88/2,824.62 = 1,439/x
  3. Step 3: Cross multiply
    1,881.88x = 2,824.62 × 1,439
  4. Step 4: Simplify right side
    1,881.88x = 4,064,628.18
  5. Step 5: Solve for x
    x = 4,064,628.18/1,881.88
  6. Step 6: Final answer
    x = 2,159.88

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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.