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Finding the Fourth Proportional to 4,071.84, 6,107.72 and 1,607.80

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Solution

The fourth proportional to 4,071.84, 6,107.72 and 1,607.80 is: 2,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.84 : 6,107.72 = 1,607.80 : x
  2. Step 2: Convert to fraction form
    4,071.84/6,107.72 = 1,607.80/x
  3. Step 3: Cross multiply
    4,071.84x = 6,107.72 × 1,607.80
  4. Step 4: Simplify right side
    4,071.84x = 9,819,992.22
  5. Step 5: Solve for x
    x = 9,819,992.22/4,071.84
  6. Step 6: Final answer
    x = 2,411.68

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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.