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Finding the Fourth Proportional to 1,529.89, 2,110.88 and 900.44

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Solution

The fourth proportional to 1,529.89, 2,110.88 and 900.44 is: 1,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.89 : 2,110.88 = 900.44 : x
  2. Step 2: Convert to fraction form
    1,529.89/2,110.88 = 900.44/x
  3. Step 3: Cross multiply
    1,529.89x = 2,110.88 × 900.44
  4. Step 4: Simplify right side
    1,529.89x = 1,900,720.40
  5. Step 5: Solve for x
    x = 1,900,720.40/1,529.89
  6. Step 6: Final answer
    x = 1,242.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.