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Finding the Fourth Proportional to 1,885.82, 2,600.52 and 1,139.64

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Solution

The fourth proportional to 1,885.82, 2,600.52 and 1,139.64 is: 1,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.82 : 2,600.52 = 1,139.64 : x
  2. Step 2: Convert to fraction form
    1,885.82/2,600.52 = 1,139.64/x
  3. Step 3: Cross multiply
    1,885.82x = 2,600.52 × 1,139.64
  4. Step 4: Simplify right side
    1,885.82x = 2,963,656.61
  5. Step 5: Solve for x
    x = 2,963,656.61/1,885.82
  6. Step 6: Final answer
    x = 1,571.55

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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.