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Finding the Fourth Proportional to 1,758.22, 2,642.12 and 937.08

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Solution

The fourth proportional to 1,758.22, 2,642.12 and 937.08 is: 1,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.22 : 2,642.12 = 937.08 : x
  2. Step 2: Convert to fraction form
    1,758.22/2,642.12 = 937.08/x
  3. Step 3: Cross multiply
    1,758.22x = 2,642.12 × 937.08
  4. Step 4: Simplify right side
    1,758.22x = 2,475,877.81
  5. Step 5: Solve for x
    x = 2,475,877.81/1,758.22
  6. Step 6: Final answer
    x = 1,408.17

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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.