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Finding the Fourth Proportional to 1,423.41, 1,964.05 and 1,050.71

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Solution

The fourth proportional to 1,423.41, 1,964.05 and 1,050.71 is: 1,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.41 : 1,964.05 = 1,050.71 : x
  2. Step 2: Convert to fraction form
    1,423.41/1,964.05 = 1,050.71/x
  3. Step 3: Cross multiply
    1,423.41x = 1,964.05 × 1,050.71
  4. Step 4: Simplify right side
    1,423.41x = 2,063,641.72
  5. Step 5: Solve for x
    x = 2,063,641.72/1,423.41
  6. Step 6: Final answer
    x = 1,449.79

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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.