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Finding the Fourth Proportional to 1,215.83, 1,823.72 and 350.15

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Solution

The fourth proportional to 1,215.83, 1,823.72 and 350.15 is: 525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.83 : 1,823.72 = 350.15 : x
  2. Step 2: Convert to fraction form
    1,215.83/1,823.72 = 350.15/x
  3. Step 3: Cross multiply
    1,215.83x = 1,823.72 × 350.15
  4. Step 4: Simplify right side
    1,215.83x = 638,567.31
  5. Step 5: Solve for x
    x = 638,567.31/1,215.83
  6. Step 6: Final answer
    x = 525.21

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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.