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Finding the Fourth Proportional to 2,165.36, 3,245.88 and 703.52

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Solution

The fourth proportional to 2,165.36, 3,245.88 and 703.52 is: 1,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.36 : 3,245.88 = 703.52 : x
  2. Step 2: Convert to fraction form
    2,165.36/3,245.88 = 703.52/x
  3. Step 3: Cross multiply
    2,165.36x = 3,245.88 × 703.52
  4. Step 4: Simplify right side
    2,165.36x = 2,283,541.50
  5. Step 5: Solve for x
    x = 2,283,541.50/2,165.36
  6. Step 6: Final answer
    x = 1,054.58

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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.