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Finding the Fourth Proportional to 1,740.52, 2,606.08 and 1,193.76

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Solution

The fourth proportional to 1,740.52, 2,606.08 and 1,193.76 is: 1,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.52 : 2,606.08 = 1,193.76 : x
  2. Step 2: Convert to fraction form
    1,740.52/2,606.08 = 1,193.76/x
  3. Step 3: Cross multiply
    1,740.52x = 2,606.08 × 1,193.76
  4. Step 4: Simplify right side
    1,740.52x = 3,111,034.06
  5. Step 5: Solve for x
    x = 3,111,034.06/1,740.52
  6. Step 6: Final answer
    x = 1,787.42

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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.