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Finding the Fourth Proportional to 1,508.98, 2,266.07 and 896.53

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Solution

The fourth proportional to 1,508.98, 2,266.07 and 896.53 is: 1,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.98 : 2,266.07 = 896.53 : x
  2. Step 2: Convert to fraction form
    1,508.98/2,266.07 = 896.53/x
  3. Step 3: Cross multiply
    1,508.98x = 2,266.07 × 896.53
  4. Step 4: Simplify right side
    1,508.98x = 2,031,599.74
  5. Step 5: Solve for x
    x = 2,031,599.74/1,508.98
  6. Step 6: Final answer
    x = 1,346.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.