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Finding the Fourth Proportional to 1,992.04, 2,988.32 and 837.52

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Solution

The fourth proportional to 1,992.04, 2,988.32 and 837.52 is: 1,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.04 : 2,988.32 = 837.52 : x
  2. Step 2: Convert to fraction form
    1,992.04/2,988.32 = 837.52/x
  3. Step 3: Cross multiply
    1,992.04x = 2,988.32 × 837.52
  4. Step 4: Simplify right side
    1,992.04x = 2,502,777.77
  5. Step 5: Solve for x
    x = 2,502,777.77/1,992.04
  6. Step 6: Final answer
    x = 1,256.39

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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.