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Finding the Fourth Proportional to 2,096.66, 3,145.47 and 709.91

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Solution

The fourth proportional to 2,096.66, 3,145.47 and 709.91 is: 1,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.66 : 3,145.47 = 709.91 : x
  2. Step 2: Convert to fraction form
    2,096.66/3,145.47 = 709.91/x
  3. Step 3: Cross multiply
    2,096.66x = 3,145.47 × 709.91
  4. Step 4: Simplify right side
    2,096.66x = 2,232,994.01
  5. Step 5: Solve for x
    x = 2,232,994.01/2,096.66
  6. Step 6: Final answer
    x = 1,065.02

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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.