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Finding the Fourth Proportional to 2,048.30, 3,072.90 and 661.40

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Solution

The fourth proportional to 2,048.30, 3,072.90 and 661.40 is: 992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.30 : 3,072.90 = 661.40 : x
  2. Step 2: Convert to fraction form
    2,048.30/3,072.90 = 661.40/x
  3. Step 3: Cross multiply
    2,048.30x = 3,072.90 × 661.40
  4. Step 4: Simplify right side
    2,048.30x = 2,032,416.06
  5. Step 5: Solve for x
    x = 2,032,416.06/2,048.30
  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.