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Finding the Fourth Proportional to 1,837.40, 2,756.43 and 604.86

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Solution

The fourth proportional to 1,837.40, 2,756.43 and 604.86 is: 907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.40 : 2,756.43 = 604.86 : x
  2. Step 2: Convert to fraction form
    1,837.40/2,756.43 = 604.86/x
  3. Step 3: Cross multiply
    1,837.40x = 2,756.43 × 604.86
  4. Step 4: Simplify right side
    1,837.40x = 1,667,243.91
  5. Step 5: Solve for x
    x = 1,667,243.91/1,837.40
  6. Step 6: Final answer
    x = 907.40

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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.