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Finding the Fourth Proportional to 1,475.40, 2,213.10 and 1,412.20

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Solution

The fourth proportional to 1,475.40, 2,213.10 and 1,412.20 is: 2,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.40 : 2,213.10 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    1,475.40/2,213.10 = 1,412.20/x
  3. Step 3: Cross multiply
    1,475.40x = 2,213.10 × 1,412.20
  4. Step 4: Simplify right side
    1,475.40x = 3,125,339.82
  5. Step 5: Solve for x
    x = 3,125,339.82/1,475.40
  6. Step 6: Final answer
    x = 2,118.30

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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.