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Finding the Fourth Proportional to 2,653.47, 3,661.97 and 1,770.75

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Solution

The fourth proportional to 2,653.47, 3,661.97 and 1,770.75 is: 2,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.47 : 3,661.97 = 1,770.75 : x
  2. Step 2: Convert to fraction form
    2,653.47/3,661.97 = 1,770.75/x
  3. Step 3: Cross multiply
    2,653.47x = 3,661.97 × 1,770.75
  4. Step 4: Simplify right side
    2,653.47x = 6,484,424.52
  5. Step 5: Solve for x
    x = 6,484,424.52/2,653.47
  6. Step 6: Final answer
    x = 2,443.75

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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.