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Finding the Fourth Proportional to 3,263.66, 4,894.77 and 1,071.80

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Solution

The fourth proportional to 3,263.66, 4,894.77 and 1,071.80 is: 1,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.66 : 4,894.77 = 1,071.80 : x
  2. Step 2: Convert to fraction form
    3,263.66/4,894.77 = 1,071.80/x
  3. Step 3: Cross multiply
    3,263.66x = 4,894.77 × 1,071.80
  4. Step 4: Simplify right side
    3,263.66x = 5,246,214.49
  5. Step 5: Solve for x
    x = 5,246,214.49/3,263.66
  6. Step 6: Final answer
    x = 1,607.46

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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.