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Finding the Fourth Proportional to 1,639.71, 2,261.52 and 1,050.30

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Solution

The fourth proportional to 1,639.71, 2,261.52 and 1,050.30 is: 1,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.71 : 2,261.52 = 1,050.30 : x
  2. Step 2: Convert to fraction form
    1,639.71/2,261.52 = 1,050.30/x
  3. Step 3: Cross multiply
    1,639.71x = 2,261.52 × 1,050.30
  4. Step 4: Simplify right side
    1,639.71x = 2,375,274.46
  5. Step 5: Solve for x
    x = 2,375,274.46/1,639.71
  6. Step 6: Final answer
    x = 1,448.59

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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.