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Finding the Fourth Proportional to 2,907.44, 4,012.80 and 1,729.16

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Solution

The fourth proportional to 2,907.44, 4,012.80 and 1,729.16 is: 2,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.44 : 4,012.80 = 1,729.16 : x
  2. Step 2: Convert to fraction form
    2,907.44/4,012.80 = 1,729.16/x
  3. Step 3: Cross multiply
    2,907.44x = 4,012.80 × 1,729.16
  4. Step 4: Simplify right side
    2,907.44x = 6,938,773.25
  5. Step 5: Solve for x
    x = 6,938,773.25/2,907.44
  6. Step 6: Final answer
    x = 2,386.56

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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.