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Finding the Fourth Proportional to 1,617.34, 2,421.30 and 999.18

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Solution

The fourth proportional to 1,617.34, 2,421.30 and 999.18 is: 1,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.34 : 2,421.30 = 999.18 : x
  2. Step 2: Convert to fraction form
    1,617.34/2,421.30 = 999.18/x
  3. Step 3: Cross multiply
    1,617.34x = 2,421.30 × 999.18
  4. Step 4: Simplify right side
    1,617.34x = 2,419,314.53
  5. Step 5: Solve for x
    x = 2,419,314.53/1,617.34
  6. Step 6: Final answer
    x = 1,495.86

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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.