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Finding the Fourth Proportional to 2,048.48, 2,826.48 and 1,209.14

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Solution

The fourth proportional to 2,048.48, 2,826.48 and 1,209.14 is: 1,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.48 : 2,826.48 = 1,209.14 : x
  2. Step 2: Convert to fraction form
    2,048.48/2,826.48 = 1,209.14/x
  3. Step 3: Cross multiply
    2,048.48x = 2,826.48 × 1,209.14
  4. Step 4: Simplify right side
    2,048.48x = 3,417,610.03
  5. Step 5: Solve for x
    x = 3,417,610.03/2,048.48
  6. Step 6: Final answer
    x = 1,668.36

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1.5x scale

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.