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Finding the Fourth Proportional to 2,509.12, 3,763.68 and 2,356.88

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Solution

The fourth proportional to 2,509.12, 3,763.68 and 2,356.88 is: 3,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.12 : 3,763.68 = 2,356.88 : x
  2. Step 2: Convert to fraction form
    2,509.12/3,763.68 = 2,356.88/x
  3. Step 3: Cross multiply
    2,509.12x = 3,763.68 × 2,356.88
  4. Step 4: Simplify right side
    2,509.12x = 8,870,542.12
  5. Step 5: Solve for x
    x = 8,870,542.12/2,509.12
  6. Step 6: Final answer
    x = 3,535.32

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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.