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Finding the Fourth Proportional to 1,740.89, 2,400.23 and 1,488.78

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Solution

The fourth proportional to 1,740.89, 2,400.23 and 1,488.78 is: 2,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.89 : 2,400.23 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    1,740.89/2,400.23 = 1,488.78/x
  3. Step 3: Cross multiply
    1,740.89x = 2,400.23 × 1,488.78
  4. Step 4: Simplify right side
    1,740.89x = 3,573,418.14
  5. Step 5: Solve for x
    x = 3,573,418.14/1,740.89
  6. Step 6: Final answer
    x = 2,052.64

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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.