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Finding the Fourth Proportional to 2,164.61, 3,246.23 and 703.42

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Solution

The fourth proportional to 2,164.61, 3,246.23 and 703.42 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.61 : 3,246.23 = 703.42 : x
  2. Step 2: Convert to fraction form
    2,164.61/3,246.23 = 703.42/x
  3. Step 3: Cross multiply
    2,164.61x = 3,246.23 × 703.42
  4. Step 4: Simplify right side
    2,164.61x = 2,283,463.11
  5. Step 5: Solve for x
    x = 2,283,463.11/2,164.61
  6. Step 6: Final answer
    x = 1,054.91

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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.