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Finding the Fourth Proportional to 2,048.28, 3,071.78 and 661.32

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Solution

The fourth proportional to 2,048.28, 3,071.78 and 661.32 is: 991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.28 : 3,071.78 = 661.32 : x
  2. Step 2: Convert to fraction form
    2,048.28/3,071.78 = 661.32/x
  3. Step 3: Cross multiply
    2,048.28x = 3,071.78 × 661.32
  4. Step 4: Simplify right side
    2,048.28x = 2,031,429.55
  5. Step 5: Solve for x
    x = 2,031,429.55/2,048.28
  6. Step 6: Final answer
    x = 991.77

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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.