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Finding the Fourth Proportional to 2,040.60, 3,060.90 and 1,464.60

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Solution

The fourth proportional to 2,040.60, 3,060.90 and 1,464.60 is: 2,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.60 : 3,060.90 = 1,464.60 : x
  2. Step 2: Convert to fraction form
    2,040.60/3,060.90 = 1,464.60/x
  3. Step 3: Cross multiply
    2,040.60x = 3,060.90 × 1,464.60
  4. Step 4: Simplify right side
    2,040.60x = 4,482,994.14
  5. Step 5: Solve for x
    x = 4,482,994.14/2,040.60
  6. Step 6: Final answer
    x = 2,196.90

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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.