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Finding the Fourth Proportional to 2,117.58, 3,175.75 and 730.86

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Solution

The fourth proportional to 2,117.58, 3,175.75 and 730.86 is: 1,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.58 : 3,175.75 = 730.86 : x
  2. Step 2: Convert to fraction form
    2,117.58/3,175.75 = 730.86/x
  3. Step 3: Cross multiply
    2,117.58x = 3,175.75 × 730.86
  4. Step 4: Simplify right side
    2,117.58x = 2,321,028.65
  5. Step 5: Solve for x
    x = 2,321,028.65/2,117.58
  6. Step 6: Final answer
    x = 1,096.08

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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.