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Finding the Fourth Proportional to 2,259.27, 3,388.61 and 700.35

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Solution

The fourth proportional to 2,259.27, 3,388.61 and 700.35 is: 1,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.27 : 3,388.61 = 700.35 : x
  2. Step 2: Convert to fraction form
    2,259.27/3,388.61 = 700.35/x
  3. Step 3: Cross multiply
    2,259.27x = 3,388.61 × 700.35
  4. Step 4: Simplify right side
    2,259.27x = 2,373,209.51
  5. Step 5: Solve for x
    x = 2,373,209.51/2,259.27
  6. Step 6: Final answer
    x = 1,050.43

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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.