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Finding the Fourth Proportional to 1,490.41, 2,055.63 and 993.70

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Solution

The fourth proportional to 1,490.41, 2,055.63 and 993.70 is: 1,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.41 : 2,055.63 = 993.70 : x
  2. Step 2: Convert to fraction form
    1,490.41/2,055.63 = 993.70/x
  3. Step 3: Cross multiply
    1,490.41x = 2,055.63 × 993.70
  4. Step 4: Simplify right side
    1,490.41x = 2,042,685.83
  5. Step 5: Solve for x
    x = 2,042,685.83/1,490.41
  6. Step 6: Final answer
    x = 1,370.55

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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.