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Finding the Fourth Proportional to 2,458.35, 3,686.97 and 703.32

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Solution

The fourth proportional to 2,458.35, 3,686.97 and 703.32 is: 1,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.35 : 3,686.97 = 703.32 : x
  2. Step 2: Convert to fraction form
    2,458.35/3,686.97 = 703.32/x
  3. Step 3: Cross multiply
    2,458.35x = 3,686.97 × 703.32
  4. Step 4: Simplify right side
    2,458.35x = 2,593,104.60
  5. Step 5: Solve for x
    x = 2,593,104.60/2,458.35
  6. Step 6: Final answer
    x = 1,054.82

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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.