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Finding the Fourth Proportional to 1,865.84, 2,795.52 and 1,664.96

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Solution

The fourth proportional to 1,865.84, 2,795.52 and 1,664.96 is: 2,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.84 : 2,795.52 = 1,664.96 : x
  2. Step 2: Convert to fraction form
    1,865.84/2,795.52 = 1,664.96/x
  3. Step 3: Cross multiply
    1,865.84x = 2,795.52 × 1,664.96
  4. Step 4: Simplify right side
    1,865.84x = 4,654,428.98
  5. Step 5: Solve for x
    x = 4,654,428.98/1,865.84
  6. Step 6: Final answer
    x = 2,494.55

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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.