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Finding the Fourth Proportional to 2,497.83, 3,447.19 and 1,378.98

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Solution

The fourth proportional to 2,497.83, 3,447.19 and 1,378.98 is: 1,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.83 : 3,447.19 = 1,378.98 : x
  2. Step 2: Convert to fraction form
    2,497.83/3,447.19 = 1,378.98/x
  3. Step 3: Cross multiply
    2,497.83x = 3,447.19 × 1,378.98
  4. Step 4: Simplify right side
    2,497.83x = 4,753,607.79
  5. Step 5: Solve for x
    x = 4,753,607.79/2,497.83
  6. Step 6: Final answer
    x = 1,903.10

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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.