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Finding the Fourth Proportional to 2,713.50, 4,070.25 and 661.50

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Solution

The fourth proportional to 2,713.50, 4,070.25 and 661.50 is: 992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.50 : 4,070.25 = 661.50 : x
  2. Step 2: Convert to fraction form
    2,713.50/4,070.25 = 661.50/x
  3. Step 3: Cross multiply
    2,713.50x = 4,070.25 × 661.50
  4. Step 4: Simplify right side
    2,713.50x = 2,692,470.38
  5. Step 5: Solve for x
    x = 2,692,470.38/2,713.50
  6. Step 6: Final answer
    x = 992.25

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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.