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Finding the Fourth Proportional to 3,071.04, 4,607.16 and 1,069.92

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Solution

The fourth proportional to 3,071.04, 4,607.16 and 1,069.92 is: 1,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.04 : 4,607.16 = 1,069.92 : x
  2. Step 2: Convert to fraction form
    3,071.04/4,607.16 = 1,069.92/x
  3. Step 3: Cross multiply
    3,071.04x = 4,607.16 × 1,069.92
  4. Step 4: Simplify right side
    3,071.04x = 4,929,292.63
  5. Step 5: Solve for x
    x = 4,929,292.63/3,071.04
  6. Step 6: Final answer
    x = 1,605.09

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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.