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Finding the Fourth Proportional to 2,363.84, 3,544.58 and 1,376.98

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Solution

The fourth proportional to 2,363.84, 3,544.58 and 1,376.98 is: 2,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.84 : 3,544.58 = 1,376.98 : x
  2. Step 2: Convert to fraction form
    2,363.84/3,544.58 = 1,376.98/x
  3. Step 3: Cross multiply
    2,363.84x = 3,544.58 × 1,376.98
  4. Step 4: Simplify right side
    2,363.84x = 4,880,815.77
  5. Step 5: Solve for x
    x = 4,880,815.77/2,363.84
  6. Step 6: Final answer
    x = 2,064.78

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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.