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Finding the Fourth Proportional to 2,397.02, 3,596.39 and 837.25

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Solution

The fourth proportional to 2,397.02, 3,596.39 and 837.25 is: 1,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.02 : 3,596.39 = 837.25 : x
  2. Step 2: Convert to fraction form
    2,397.02/3,596.39 = 837.25/x
  3. Step 3: Cross multiply
    2,397.02x = 3,596.39 × 837.25
  4. Step 4: Simplify right side
    2,397.02x = 3,011,066.44
  5. Step 5: Solve for x
    x = 3,011,066.44/2,397.02
  6. Step 6: Final answer
    x = 1,256.17

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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.