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Finding the Fourth Proportional to 2,907.55, 4,012.34 and 1,648.72

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Solution

The fourth proportional to 2,907.55, 4,012.34 and 1,648.72 is: 2,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.55 : 4,012.34 = 1,648.72 : x
  2. Step 2: Convert to fraction form
    2,907.55/4,012.34 = 1,648.72/x
  3. Step 3: Cross multiply
    2,907.55x = 4,012.34 × 1,648.72
  4. Step 4: Simplify right side
    2,907.55x = 6,615,221.98
  5. Step 5: Solve for x
    x = 6,615,221.98/2,907.55
  6. Step 6: Final answer
    x = 2,275.18

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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.