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Finding the Fourth Proportional to 2,430.38, 3,644.94 and 1,043.94

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Solution

The fourth proportional to 2,430.38, 3,644.94 and 1,043.94 is: 1,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.38 : 3,644.94 = 1,043.94 : x
  2. Step 2: Convert to fraction form
    2,430.38/3,644.94 = 1,043.94/x
  3. Step 3: Cross multiply
    2,430.38x = 3,644.94 × 1,043.94
  4. Step 4: Simplify right side
    2,430.38x = 3,805,098.66
  5. Step 5: Solve for x
    x = 3,805,098.66/2,430.38
  6. Step 6: Final answer
    x = 1,565.64

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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.