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Finding the Fourth Proportional to 2,025.40, 2,695.51 and 2,025.40

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Solution

The fourth proportional to 2,025.40, 2,695.51 and 2,025.40 is: 2,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.40 : 2,695.51 = 2,025.40 : x
  2. Step 2: Convert to fraction form
    2,025.40/2,695.51 = 2,025.40/x
  3. Step 3: Cross multiply
    2,025.40x = 2,695.51 × 2,025.40
  4. Step 4: Simplify right side
    2,025.40x = 5,459,485.95
  5. Step 5: Solve for x
    x = 5,459,485.95/2,025.40
  6. Step 6: Final answer
    x = 2,695.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.