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Finding the Fourth Proportional to 2,907.20, 4,012.80 and 1,913.24

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Solution

The fourth proportional to 2,907.20, 4,012.80 and 1,913.24 is: 2,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.20 : 4,012.80 = 1,913.24 : x
  2. Step 2: Convert to fraction form
    2,907.20/4,012.80 = 1,913.24/x
  3. Step 3: Cross multiply
    2,907.20x = 4,012.80 × 1,913.24
  4. Step 4: Simplify right side
    2,907.20x = 7,677,449.47
  5. Step 5: Solve for x
    x = 7,677,449.47/2,907.20
  6. Step 6: Final answer
    x = 2,640.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.