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Finding the Fourth Proportional to 1,490.77, 2,055.37 and 1,065.91

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Solution

The fourth proportional to 1,490.77, 2,055.37 and 1,065.91 is: 1,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.77 : 2,055.37 = 1,065.91 : x
  2. Step 2: Convert to fraction form
    1,490.77/2,055.37 = 1,065.91/x
  3. Step 3: Cross multiply
    1,490.77x = 2,055.37 × 1,065.91
  4. Step 4: Simplify right side
    1,490.77x = 2,190,839.44
  5. Step 5: Solve for x
    x = 2,190,839.44/1,490.77
  6. Step 6: Final answer
    x = 1,469.60

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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.