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Finding the Fourth Proportional to 2,907.21, 4,012.10 and 1,648.20

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Solution

The fourth proportional to 2,907.21, 4,012.10 and 1,648.20 is: 2,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.21 : 4,012.10 = 1,648.20 : x
  2. Step 2: Convert to fraction form
    2,907.21/4,012.10 = 1,648.20/x
  3. Step 3: Cross multiply
    2,907.21x = 4,012.10 × 1,648.20
  4. Step 4: Simplify right side
    2,907.21x = 6,612,743.22
  5. Step 5: Solve for x
    x = 6,612,743.22/2,907.21
  6. Step 6: Final answer
    x = 2,274.60

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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.