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Finding the Fourth Proportional to 2,224.07, 3,335.59 and 837.55

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Solution

The fourth proportional to 2,224.07, 3,335.59 and 837.55 is: 1,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.07 : 3,335.59 = 837.55 : x
  2. Step 2: Convert to fraction form
    2,224.07/3,335.59 = 837.55/x
  3. Step 3: Cross multiply
    2,224.07x = 3,335.59 × 837.55
  4. Step 4: Simplify right side
    2,224.07x = 2,793,704.63
  5. Step 5: Solve for x
    x = 2,793,704.63/2,224.07
  6. Step 6: Final answer
    x = 1,256.13

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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.