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Finding the Fourth Proportional to 2,652.87, 3,660.93 and 1,658.16

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Solution

The fourth proportional to 2,652.87, 3,660.93 and 1,658.16 is: 2,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.87 : 3,660.93 = 1,658.16 : x
  2. Step 2: Convert to fraction form
    2,652.87/3,660.93 = 1,658.16/x
  3. Step 3: Cross multiply
    2,652.87x = 3,660.93 × 1,658.16
  4. Step 4: Simplify right side
    2,652.87x = 6,070,407.69
  5. Step 5: Solve for x
    x = 6,070,407.69/2,652.87
  6. Step 6: Final answer
    x = 2,288.24

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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.