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Finding the Fourth Proportional to 2,902.17, 4,353.30 and 710.94

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Solution

The fourth proportional to 2,902.17, 4,353.30 and 710.94 is: 1,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.17 : 4,353.30 = 710.94 : x
  2. Step 2: Convert to fraction form
    2,902.17/4,353.30 = 710.94/x
  3. Step 3: Cross multiply
    2,902.17x = 4,353.30 × 710.94
  4. Step 4: Simplify right side
    2,902.17x = 3,094,935.10
  5. Step 5: Solve for x
    x = 3,094,935.10/2,902.17
  6. Step 6: Final answer
    x = 1,066.42

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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.