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Finding the Fourth Proportional to 1,923.92, 2,643.49 and 1,530.26

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Solution

The fourth proportional to 1,923.92, 2,643.49 and 1,530.26 is: 2,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.92 : 2,643.49 = 1,530.26 : x
  2. Step 2: Convert to fraction form
    1,923.92/2,643.49 = 1,530.26/x
  3. Step 3: Cross multiply
    1,923.92x = 2,643.49 × 1,530.26
  4. Step 4: Simplify right side
    1,923.92x = 4,045,227.01
  5. Step 5: Solve for x
    x = 4,045,227.01/1,923.92
  6. Step 6: Final answer
    x = 2,102.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.