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Finding the Fourth Proportional to 2,658.94, 3,669.33 and 1,480.08

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Solution

The fourth proportional to 2,658.94, 3,669.33 and 1,480.08 is: 2,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.94 : 3,669.33 = 1,480.08 : x
  2. Step 2: Convert to fraction form
    2,658.94/3,669.33 = 1,480.08/x
  3. Step 3: Cross multiply
    2,658.94x = 3,669.33 × 1,480.08
  4. Step 4: Simplify right side
    2,658.94x = 5,430,921.26
  5. Step 5: Solve for x
    x = 5,430,921.26/2,658.94
  6. Step 6: Final answer
    x = 2,042.52

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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.