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Finding the Fourth Proportional to 1,506.89, 2,263.81 and 1,069.23

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Solution

The fourth proportional to 1,506.89, 2,263.81 and 1,069.23 is: 1,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.89 : 2,263.81 = 1,069.23 : x
  2. Step 2: Convert to fraction form
    1,506.89/2,263.81 = 1,069.23/x
  3. Step 3: Cross multiply
    1,506.89x = 2,263.81 × 1,069.23
  4. Step 4: Simplify right side
    1,506.89x = 2,420,530.89
  5. Step 5: Solve for x
    x = 2,420,530.89/1,506.89
  6. Step 6: Final answer
    x = 1,606.31

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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.