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Finding the Fourth Proportional to 2,805.47, 4,210.04 and 1,074.09

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Solution

The fourth proportional to 2,805.47, 4,210.04 and 1,074.09 is: 1,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.47 : 4,210.04 = 1,074.09 : x
  2. Step 2: Convert to fraction form
    2,805.47/4,210.04 = 1,074.09/x
  3. Step 3: Cross multiply
    2,805.47x = 4,210.04 × 1,074.09
  4. Step 4: Simplify right side
    2,805.47x = 4,521,980.34
  5. Step 5: Solve for x
    x = 4,521,980.34/2,805.47
  6. Step 6: Final answer
    x = 1,611.84

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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.