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Finding the Fourth Proportional to 2,985.84, 4,479.12 and 794.61

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Solution

The fourth proportional to 2,985.84, 4,479.12 and 794.61 is: 1,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.84 : 4,479.12 = 794.61 : x
  2. Step 2: Convert to fraction form
    2,985.84/4,479.12 = 794.61/x
  3. Step 3: Cross multiply
    2,985.84x = 4,479.12 × 794.61
  4. Step 4: Simplify right side
    2,985.84x = 3,559,153.54
  5. Step 5: Solve for x
    x = 3,559,153.54/2,985.84
  6. Step 6: Final answer
    x = 1,192.01

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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.