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Finding the Fourth Proportional to 2,653.66, 3,661.71 and 1,474.50

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Solution

The fourth proportional to 2,653.66, 3,661.71 and 1,474.50 is: 2,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.66 : 3,661.71 = 1,474.50 : x
  2. Step 2: Convert to fraction form
    2,653.66/3,661.71 = 1,474.50/x
  3. Step 3: Cross multiply
    2,653.66x = 3,661.71 × 1,474.50
  4. Step 4: Simplify right side
    2,653.66x = 5,399,199.60
  5. Step 5: Solve for x
    x = 5,399,199.60/2,653.66
  6. Step 6: Final answer
    x = 2,034.62

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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.