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Finding the Fourth Proportional to 1,907.64, 2,633.34 and 1,614.42

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Solution

The fourth proportional to 1,907.64, 2,633.34 and 1,614.42 is: 2,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.64 : 2,633.34 = 1,614.42 : x
  2. Step 2: Convert to fraction form
    1,907.64/2,633.34 = 1,614.42/x
  3. Step 3: Cross multiply
    1,907.64x = 2,633.34 × 1,614.42
  4. Step 4: Simplify right side
    1,907.64x = 4,251,316.76
  5. Step 5: Solve for x
    x = 4,251,316.76/1,907.64
  6. Step 6: Final answer
    x = 2,228.57

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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.