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Finding the Fourth Proportional to 2,860.70, 4,289.46 and 1,546.02

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Solution

The fourth proportional to 2,860.70, 4,289.46 and 1,546.02 is: 2,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.70 : 4,289.46 = 1,546.02 : x
  2. Step 2: Convert to fraction form
    2,860.70/4,289.46 = 1,546.02/x
  3. Step 3: Cross multiply
    2,860.70x = 4,289.46 × 1,546.02
  4. Step 4: Simplify right side
    2,860.70x = 6,631,590.95
  5. Step 5: Solve for x
    x = 6,631,590.95/2,860.70
  6. Step 6: Final answer
    x = 2,318.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.