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Finding the Fourth Proportional to 1,770.39, 2,643.30 and 1,490.94

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Solution

The fourth proportional to 1,770.39, 2,643.30 and 1,490.94 is: 2,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.39 : 2,643.30 = 1,490.94 : x
  2. Step 2: Convert to fraction form
    1,770.39/2,643.30 = 1,490.94/x
  3. Step 3: Cross multiply
    1,770.39x = 2,643.30 × 1,490.94
  4. Step 4: Simplify right side
    1,770.39x = 3,941,001.70
  5. Step 5: Solve for x
    x = 3,941,001.70/1,770.39
  6. Step 6: Final answer
    x = 2,226.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.