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Finding the Fourth Proportional to 1,729.15, 2,594.51 and 907.24

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Solution

The fourth proportional to 1,729.15, 2,594.51 and 907.24 is: 1,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.15 : 2,594.51 = 907.24 : x
  2. Step 2: Convert to fraction form
    1,729.15/2,594.51 = 907.24/x
  3. Step 3: Cross multiply
    1,729.15x = 2,594.51 × 907.24
  4. Step 4: Simplify right side
    1,729.15x = 2,353,843.25
  5. Step 5: Solve for x
    x = 2,353,843.25/1,729.15
  6. Step 6: Final answer
    x = 1,361.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.