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Finding the Fourth Proportional to 2,907.64, 4,361.44 and 1,176.24

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Solution

The fourth proportional to 2,907.64, 4,361.44 and 1,176.24 is: 1,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.64 : 4,361.44 = 1,176.24 : x
  2. Step 2: Convert to fraction form
    2,907.64/4,361.44 = 1,176.24/x
  3. Step 3: Cross multiply
    2,907.64x = 4,361.44 × 1,176.24
  4. Step 4: Simplify right side
    2,907.64x = 5,130,100.19
  5. Step 5: Solve for x
    x = 5,130,100.19/2,907.64
  6. Step 6: Final answer
    x = 1,764.35

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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.