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Finding the Fourth Proportional to 2,048.12, 3,071.24 and 661.20

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Solution

The fourth proportional to 2,048.12, 3,071.24 and 661.20 is: 991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.12 : 3,071.24 = 661.20 : x
  2. Step 2: Convert to fraction form
    2,048.12/3,071.24 = 661.20/x
  3. Step 3: Cross multiply
    2,048.12x = 3,071.24 × 661.20
  4. Step 4: Simplify right side
    2,048.12x = 2,030,703.89
  5. Step 5: Solve for x
    x = 2,030,703.89/2,048.12
  6. Step 6: Final answer
    x = 991.50

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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.