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Finding the Fourth Proportional to 1,216.96, 1,823.84 and 1,060

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Solution

The fourth proportional to 1,216.96, 1,823.84 and 1,060 is: 1,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.96 : 1,823.84 = 1,060 : x
  2. Step 2: Convert to fraction form
    1,216.96/1,823.84 = 1,060/x
  3. Step 3: Cross multiply
    1,216.96x = 1,823.84 × 1,060
  4. Step 4: Simplify right side
    1,216.96x = 1,933,270.40
  5. Step 5: Solve for x
    x = 1,933,270.40/1,216.96
  6. Step 6: Final answer
    x = 1,588.61

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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.