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Finding the Fourth Proportional to 2,907.98, 4,360.64 and 933.24

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Solution

The fourth proportional to 2,907.98, 4,360.64 and 933.24 is: 1,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.98 : 4,360.64 = 933.24 : x
  2. Step 2: Convert to fraction form
    2,907.98/4,360.64 = 933.24/x
  3. Step 3: Cross multiply
    2,907.98x = 4,360.64 × 933.24
  4. Step 4: Simplify right side
    2,907.98x = 4,069,523.67
  5. Step 5: Solve for x
    x = 4,069,523.67/2,907.98
  6. Step 6: Final answer
    x = 1,399.43

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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.