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Finding the Fourth Proportional to 1,770.88, 2,443.89 and 1,475.65

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Solution

The fourth proportional to 1,770.88, 2,443.89 and 1,475.65 is: 2,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.88 : 2,443.89 = 1,475.65 : x
  2. Step 2: Convert to fraction form
    1,770.88/2,443.89 = 1,475.65/x
  3. Step 3: Cross multiply
    1,770.88x = 2,443.89 × 1,475.65
  4. Step 4: Simplify right side
    1,770.88x = 3,606,326.28
  5. Step 5: Solve for x
    x = 3,606,326.28/1,770.88
  6. Step 6: Final answer
    x = 2,036.46

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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.