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Finding the Fourth Proportional to 1,506.24, 2,263.62 and 890.24

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Solution

The fourth proportional to 1,506.24, 2,263.62 and 890.24 is: 1,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.24 : 2,263.62 = 890.24 : x
  2. Step 2: Convert to fraction form
    1,506.24/2,263.62 = 890.24/x
  3. Step 3: Cross multiply
    1,506.24x = 2,263.62 × 890.24
  4. Step 4: Simplify right side
    1,506.24x = 2,015,165.07
  5. Step 5: Solve for x
    x = 2,015,165.07/1,506.24
  6. Step 6: Final answer
    x = 1,337.88

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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.