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Finding the Fourth Proportional to 3,047.93, 4,206.16 and 1,650.68

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Solution

The fourth proportional to 3,047.93, 4,206.16 and 1,650.68 is: 2,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.93 : 4,206.16 = 1,650.68 : x
  2. Step 2: Convert to fraction form
    3,047.93/4,206.16 = 1,650.68/x
  3. Step 3: Cross multiply
    3,047.93x = 4,206.16 × 1,650.68
  4. Step 4: Simplify right side
    3,047.93x = 6,943,024.19
  5. Step 5: Solve for x
    x = 6,943,024.19/3,047.93
  6. Step 6: Final answer
    x = 2,277.95

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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.