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Finding the Fourth Proportional to 3,302.84, 4,954.52 and 1,111.60

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Solution

The fourth proportional to 3,302.84, 4,954.52 and 1,111.60 is: 1,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.84 : 4,954.52 = 1,111.60 : x
  2. Step 2: Convert to fraction form
    3,302.84/4,954.52 = 1,111.60/x
  3. Step 3: Cross multiply
    3,302.84x = 4,954.52 × 1,111.60
  4. Step 4: Simplify right side
    3,302.84x = 5,507,444.43
  5. Step 5: Solve for x
    x = 5,507,444.43/3,302.84
  6. Step 6: Final answer
    x = 1,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.