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Finding the Fourth Proportional to 4,266.80, 6,403.80 and 2,077.40

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Solution

The fourth proportional to 4,266.80, 6,403.80 and 2,077.40 is: 3,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.80 : 6,403.80 = 2,077.40 : x
  2. Step 2: Convert to fraction form
    4,266.80/6,403.80 = 2,077.40/x
  3. Step 3: Cross multiply
    4,266.80x = 6,403.80 × 2,077.40
  4. Step 4: Simplify right side
    4,266.80x = 13,303,254.12
  5. Step 5: Solve for x
    x = 13,303,254.12/4,266.80
  6. Step 6: Final answer
    x = 3,117.85

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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.