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Finding the Fourth Proportional to 2,497.04, 3,738.84 and 2,237.84

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Solution

The fourth proportional to 2,497.04, 3,738.84 and 2,237.84 is: 3,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.04 : 3,738.84 = 2,237.84 : x
  2. Step 2: Convert to fraction form
    2,497.04/3,738.84 = 2,237.84/x
  3. Step 3: Cross multiply
    2,497.04x = 3,738.84 × 2,237.84
  4. Step 4: Simplify right side
    2,497.04x = 8,366,925.71
  5. Step 5: Solve for x
    x = 8,366,925.71/2,497.04
  6. Step 6: Final answer
    x = 3,350.74

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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.