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Finding the Fourth Proportional to 2,907.24, 4,012.03 and 1,648.29

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Solution

The fourth proportional to 2,907.24, 4,012.03 and 1,648.29 is: 2,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.24 : 4,012.03 = 1,648.29 : x
  2. Step 2: Convert to fraction form
    2,907.24/4,012.03 = 1,648.29/x
  3. Step 3: Cross multiply
    2,907.24x = 4,012.03 × 1,648.29
  4. Step 4: Simplify right side
    2,907.24x = 6,612,988.93
  5. Step 5: Solve for x
    x = 6,612,988.93/2,907.24
  6. Step 6: Final answer
    x = 2,274.66

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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.