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Finding the Fourth Proportional to 2,713.63, 4,070.45 and 661.63

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Solution

The fourth proportional to 2,713.63, 4,070.45 and 661.63 is: 992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.63 : 4,070.45 = 661.63 : x
  2. Step 2: Convert to fraction form
    2,713.63/4,070.45 = 661.63/x
  3. Step 3: Cross multiply
    2,713.63x = 4,070.45 × 661.63
  4. Step 4: Simplify right side
    2,713.63x = 2,693,131.83
  5. Step 5: Solve for x
    x = 2,693,131.83/2,713.63
  6. Step 6: Final answer
    x = 992.45

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1.5x scale

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.