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Finding the Fourth Proportional to 2,283.15, 3,149.11 and 1,485

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Solution

The fourth proportional to 2,283.15, 3,149.11 and 1,485 is: 2,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.15 : 3,149.11 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,283.15/3,149.11 = 1,485/x
  3. Step 3: Cross multiply
    2,283.15x = 3,149.11 × 1,485
  4. Step 4: Simplify right side
    2,283.15x = 4,676,430.21
  5. Step 5: Solve for x
    x = 4,676,430.21/2,283.15
  6. Step 6: Final answer
    x = 2,048.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.