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Finding the Fourth Proportional to 1,740.88, 2,610.36 and 1,193.20

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Solution

The fourth proportional to 1,740.88, 2,610.36 and 1,193.20 is: 1,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.88 : 2,610.36 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    1,740.88/2,610.36 = 1,193.20/x
  3. Step 3: Cross multiply
    1,740.88x = 2,610.36 × 1,193.20
  4. Step 4: Simplify right side
    1,740.88x = 3,114,681.55
  5. Step 5: Solve for x
    x = 3,114,681.55/1,740.88
  6. Step 6: Final answer
    x = 1,789.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.