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Finding the Fourth Proportional to 2,907.60, 4,358.95 and 1,153.85

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Solution

The fourth proportional to 2,907.60, 4,358.95 and 1,153.85 is: 1,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.60 : 4,358.95 = 1,153.85 : x
  2. Step 2: Convert to fraction form
    2,907.60/4,358.95 = 1,153.85/x
  3. Step 3: Cross multiply
    2,907.60x = 4,358.95 × 1,153.85
  4. Step 4: Simplify right side
    2,907.60x = 5,029,586.56
  5. Step 5: Solve for x
    x = 5,029,586.56/2,907.60
  6. Step 6: Final answer
    x = 1,729.80

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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.