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Finding the Fourth Proportional to 2,653.59, 3,660.75 and 1,658.37

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Solution

The fourth proportional to 2,653.59, 3,660.75 and 1,658.37 is: 2,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.59 : 3,660.75 = 1,658.37 : x
  2. Step 2: Convert to fraction form
    2,653.59/3,660.75 = 1,658.37/x
  3. Step 3: Cross multiply
    2,653.59x = 3,660.75 × 1,658.37
  4. Step 4: Simplify right side
    2,653.59x = 6,070,877.98
  5. Step 5: Solve for x
    x = 6,070,877.98/2,653.59
  6. Step 6: Final answer
    x = 2,287.80

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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.