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Finding the Fourth Proportional to 2,161.59, 3,242.86 and 700.89

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Solution

The fourth proportional to 2,161.59, 3,242.86 and 700.89 is: 1,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.59 : 3,242.86 = 700.89 : x
  2. Step 2: Convert to fraction form
    2,161.59/3,242.86 = 700.89/x
  3. Step 3: Cross multiply
    2,161.59x = 3,242.86 × 700.89
  4. Step 4: Simplify right side
    2,161.59x = 2,272,898.00
  5. Step 5: Solve for x
    x = 2,272,898.00/2,161.59
  6. Step 6: Final answer
    x = 1,051.49

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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.