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Finding the Fourth Proportional to 3,029.07, 4,543.24 and 808.08

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Solution

The fourth proportional to 3,029.07, 4,543.24 and 808.08 is: 1,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.07 : 4,543.24 = 808.08 : x
  2. Step 2: Convert to fraction form
    3,029.07/4,543.24 = 808.08/x
  3. Step 3: Cross multiply
    3,029.07x = 4,543.24 × 808.08
  4. Step 4: Simplify right side
    3,029.07x = 3,671,301.38
  5. Step 5: Solve for x
    x = 3,671,301.38/3,029.07
  6. Step 6: Final answer
    x = 1,212.02

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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.