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Finding the Fourth Proportional to 2,785.47, 4,174.74 and 2,437.98

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Solution

The fourth proportional to 2,785.47, 4,174.74 and 2,437.98 is: 3,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.47 : 4,174.74 = 2,437.98 : x
  2. Step 2: Convert to fraction form
    2,785.47/4,174.74 = 2,437.98/x
  3. Step 3: Cross multiply
    2,785.47x = 4,174.74 × 2,437.98
  4. Step 4: Simplify right side
    2,785.47x = 10,177,932.63
  5. Step 5: Solve for x
    x = 10,177,932.63/2,785.47
  6. Step 6: Final answer
    x = 3,653.94

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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.