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Finding the Fourth Proportional to 1,215.74, 1,823.34 and 350.12

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Solution

The fourth proportional to 1,215.74, 1,823.34 and 350.12 is: 525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.74 : 1,823.34 = 350.12 : x
  2. Step 2: Convert to fraction form
    1,215.74/1,823.34 = 350.12/x
  3. Step 3: Cross multiply
    1,215.74x = 1,823.34 × 350.12
  4. Step 4: Simplify right side
    1,215.74x = 638,387.80
  5. Step 5: Solve for x
    x = 638,387.80/1,215.74
  6. Step 6: Final answer
    x = 525.10

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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.