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Finding the Fourth Proportional to 2,713.76, 4,072.28 and 1,070.27

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Solution

The fourth proportional to 2,713.76, 4,072.28 and 1,070.27 is: 1,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.76 : 4,072.28 = 1,070.27 : x
  2. Step 2: Convert to fraction form
    2,713.76/4,072.28 = 1,070.27/x
  3. Step 3: Cross multiply
    2,713.76x = 4,072.28 × 1,070.27
  4. Step 4: Simplify right side
    2,713.76x = 4,358,413.40
  5. Step 5: Solve for x
    x = 4,358,413.40/2,713.76
  6. Step 6: Final answer
    x = 1,606.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.