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Finding the Fourth Proportional to 1,768.29, 2,652.45 and 903.21

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Solution

The fourth proportional to 1,768.29, 2,652.45 and 903.21 is: 1,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.29 : 2,652.45 = 903.21 : x
  2. Step 2: Convert to fraction form
    1,768.29/2,652.45 = 903.21/x
  3. Step 3: Cross multiply
    1,768.29x = 2,652.45 × 903.21
  4. Step 4: Simplify right side
    1,768.29x = 2,395,719.36
  5. Step 5: Solve for x
    x = 2,395,719.36/1,768.29
  6. Step 6: Final answer
    x = 1,354.82

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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.