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Finding the Fourth Proportional to 2,104.84, 2,902.98 and 1,544.68

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Solution

The fourth proportional to 2,104.84, 2,902.98 and 1,544.68 is: 2,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.84 : 2,902.98 = 1,544.68 : x
  2. Step 2: Convert to fraction form
    2,104.84/2,902.98 = 1,544.68/x
  3. Step 3: Cross multiply
    2,104.84x = 2,902.98 × 1,544.68
  4. Step 4: Simplify right side
    2,104.84x = 4,484,175.15
  5. Step 5: Solve for x
    x = 4,484,175.15/2,104.84
  6. Step 6: Final answer
    x = 2,130.41

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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.