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Finding the Fourth Proportional to 2,938.40, 4,404.20 and 1,637.26

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Solution

The fourth proportional to 2,938.40, 4,404.20 and 1,637.26 is: 2,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.40 : 4,404.20 = 1,637.26 : x
  2. Step 2: Convert to fraction form
    2,938.40/4,404.20 = 1,637.26/x
  3. Step 3: Cross multiply
    2,938.40x = 4,404.20 × 1,637.26
  4. Step 4: Simplify right side
    2,938.40x = 7,210,820.49
  5. Step 5: Solve for x
    x = 7,210,820.49/2,938.40
  6. Step 6: Final answer
    x = 2,454.00

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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.