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Finding the Fourth Proportional to 2,064.84, 3,097.28 and 604.16

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Solution

The fourth proportional to 2,064.84, 3,097.28 and 604.16 is: 906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.84 : 3,097.28 = 604.16 : x
  2. Step 2: Convert to fraction form
    2,064.84/3,097.28 = 604.16/x
  3. Step 3: Cross multiply
    2,064.84x = 3,097.28 × 604.16
  4. Step 4: Simplify right side
    2,064.84x = 1,871,252.68
  5. Step 5: Solve for x
    x = 1,871,252.68/2,064.84
  6. Step 6: Final answer
    x = 906.25

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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.