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Finding the Fourth Proportional to 2,907.57, 4,012.32 and 1,648.55

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Solution

The fourth proportional to 2,907.57, 4,012.32 and 1,648.55 is: 2,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.57 : 4,012.32 = 1,648.55 : x
  2. Step 2: Convert to fraction form
    2,907.57/4,012.32 = 1,648.55/x
  3. Step 3: Cross multiply
    2,907.57x = 4,012.32 × 1,648.55
  4. Step 4: Simplify right side
    2,907.57x = 6,614,501.89
  5. Step 5: Solve for x
    x = 6,614,501.89/2,907.57
  6. Step 6: Final answer
    x = 2,274.92

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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.