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Finding the Fourth Proportional to 2,907.90, 4,362.21 and 933.66

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Solution

The fourth proportional to 2,907.90, 4,362.21 and 933.66 is: 1,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.90 : 4,362.21 = 933.66 : x
  2. Step 2: Convert to fraction form
    2,907.90/4,362.21 = 933.66/x
  3. Step 3: Cross multiply
    2,907.90x = 4,362.21 × 933.66
  4. Step 4: Simplify right side
    2,907.90x = 4,072,820.99
  5. Step 5: Solve for x
    x = 4,072,820.99/2,907.90
  6. Step 6: Final answer
    x = 1,400.61

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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.