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Finding the Fourth Proportional to 2,460.18, 3,689.46 and 900.12

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Solution

The fourth proportional to 2,460.18, 3,689.46 and 900.12 is: 1,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.18 : 3,689.46 = 900.12 : x
  2. Step 2: Convert to fraction form
    2,460.18/3,689.46 = 900.12/x
  3. Step 3: Cross multiply
    2,460.18x = 3,689.46 × 900.12
  4. Step 4: Simplify right side
    2,460.18x = 3,320,956.74
  5. Step 5: Solve for x
    x = 3,320,956.74/2,460.18
  6. Step 6: Final answer
    x = 1,349.88

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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.