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Finding the Fourth Proportional to 2,695.40, 4,014.77 and 2,569

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Solution

The fourth proportional to 2,695.40, 4,014.77 and 2,569 is: 3,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.40 : 4,014.77 = 2,569 : x
  2. Step 2: Convert to fraction form
    2,695.40/4,014.77 = 2,569/x
  3. Step 3: Cross multiply
    2,695.40x = 4,014.77 × 2,569
  4. Step 4: Simplify right side
    2,695.40x = 10,313,944.13
  5. Step 5: Solve for x
    x = 10,313,944.13/2,695.40
  6. Step 6: Final answer
    x = 3,826.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.