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Finding the Fourth Proportional to 3,006.79, 4,510.28 and 926.78

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Solution

The fourth proportional to 3,006.79, 4,510.28 and 926.78 is: 1,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.79 : 4,510.28 = 926.78 : x
  2. Step 2: Convert to fraction form
    3,006.79/4,510.28 = 926.78/x
  3. Step 3: Cross multiply
    3,006.79x = 4,510.28 × 926.78
  4. Step 4: Simplify right side
    3,006.79x = 4,180,017.06
  5. Step 5: Solve for x
    x = 4,180,017.06/3,006.79
  6. Step 6: Final answer
    x = 1,390.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.