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Finding the Fourth Proportional to 1,369.84, 2,054.34 and 547.68

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Solution

The fourth proportional to 1,369.84, 2,054.34 and 547.68 is: 821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.84 : 2,054.34 = 547.68 : x
  2. Step 2: Convert to fraction form
    1,369.84/2,054.34 = 547.68/x
  3. Step 3: Cross multiply
    1,369.84x = 2,054.34 × 547.68
  4. Step 4: Simplify right side
    1,369.84x = 1,125,120.93
  5. Step 5: Solve for x
    x = 1,125,120.93/1,369.84
  6. Step 6: Final answer
    x = 821.35

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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.