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Finding the Fourth Proportional to 1,530.75, 2,294.06 and 836.37

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Solution

The fourth proportional to 1,530.75, 2,294.06 and 836.37 is: 1,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.75 : 2,294.06 = 836.37 : x
  2. Step 2: Convert to fraction form
    1,530.75/2,294.06 = 836.37/x
  3. Step 3: Cross multiply
    1,530.75x = 2,294.06 × 836.37
  4. Step 4: Simplify right side
    1,530.75x = 1,918,678.78
  5. Step 5: Solve for x
    x = 1,918,678.78/1,530.75
  6. Step 6: Final answer
    x = 1,253.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.