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Finding the Fourth Proportional to 3,002.66, 4,143.63 and 1,658.24

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Solution

The fourth proportional to 3,002.66, 4,143.63 and 1,658.24 is: 2,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.66 : 4,143.63 = 1,658.24 : x
  2. Step 2: Convert to fraction form
    3,002.66/4,143.63 = 1,658.24/x
  3. Step 3: Cross multiply
    3,002.66x = 4,143.63 × 1,658.24
  4. Step 4: Simplify right side
    3,002.66x = 6,871,133.01
  5. Step 5: Solve for x
    x = 6,871,133.01/3,002.66
  6. Step 6: Final answer
    x = 2,288.35

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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.