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Finding the Fourth Proportional to 3,017.96, 4,527.08 and 826.91

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Solution

The fourth proportional to 3,017.96, 4,527.08 and 826.91 is: 1,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.96 : 4,527.08 = 826.91 : x
  2. Step 2: Convert to fraction form
    3,017.96/4,527.08 = 826.91/x
  3. Step 3: Cross multiply
    3,017.96x = 4,527.08 × 826.91
  4. Step 4: Simplify right side
    3,017.96x = 3,743,483.59
  5. Step 5: Solve for x
    x = 3,743,483.59/3,017.96
  6. Step 6: Final answer
    x = 1,240.40

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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.