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Finding the Fourth Proportional to 1,765.32, 2,645.46 and 900.24

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Solution

The fourth proportional to 1,765.32, 2,645.46 and 900.24 is: 1,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.32 : 2,645.46 = 900.24 : x
  2. Step 2: Convert to fraction form
    1,765.32/2,645.46 = 900.24/x
  3. Step 3: Cross multiply
    1,765.32x = 2,645.46 × 900.24
  4. Step 4: Simplify right side
    1,765.32x = 2,381,548.91
  5. Step 5: Solve for x
    x = 2,381,548.91/1,765.32
  6. Step 6: Final answer
    x = 1,349.07

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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.