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Finding the Fourth Proportional to 2,907.89, 4,012.59 and 1,648.69

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Solution

The fourth proportional to 2,907.89, 4,012.59 and 1,648.69 is: 2,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.89 : 4,012.59 = 1,648.69 : x
  2. Step 2: Convert to fraction form
    2,907.89/4,012.59 = 1,648.69/x
  3. Step 3: Cross multiply
    2,907.89x = 4,012.59 × 1,648.69
  4. Step 4: Simplify right side
    2,907.89x = 6,615,517.01
  5. Step 5: Solve for x
    x = 6,615,517.01/2,907.89
  6. Step 6: Final answer
    x = 2,275.02

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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.