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Finding the Fourth Proportional to 2,695.92, 3,717.74 and 2,106.24

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Solution

The fourth proportional to 2,695.92, 3,717.74 and 2,106.24 is: 2,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.92 : 3,717.74 = 2,106.24 : x
  2. Step 2: Convert to fraction form
    2,695.92/3,717.74 = 2,106.24/x
  3. Step 3: Cross multiply
    2,695.92x = 3,717.74 × 2,106.24
  4. Step 4: Simplify right side
    2,695.92x = 7,830,452.70
  5. Step 5: Solve for x
    x = 7,830,452.70/2,695.92
  6. Step 6: Final answer
    x = 2,904.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.