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Finding the Fourth Proportional to 2,165.84, 3,250 and 934.48

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Solution

The fourth proportional to 2,165.84, 3,250 and 934.48 is: 1,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.84 : 3,250 = 934.48 : x
  2. Step 2: Convert to fraction form
    2,165.84/3,250 = 934.48/x
  3. Step 3: Cross multiply
    2,165.84x = 3,250 × 934.48
  4. Step 4: Simplify right side
    2,165.84x = 3,037,060
  5. Step 5: Solve for x
    x = 3,037,060/2,165.84
  6. Step 6: Final answer
    x = 1,402.26

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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.