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Finding the Fourth Proportional to 2,336.88, 3,502.88 and 1,458.02

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Solution

The fourth proportional to 2,336.88, 3,502.88 and 1,458.02 is: 2,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.88 : 3,502.88 = 1,458.02 : x
  2. Step 2: Convert to fraction form
    2,336.88/3,502.88 = 1,458.02/x
  3. Step 3: Cross multiply
    2,336.88x = 3,502.88 × 1,458.02
  4. Step 4: Simplify right side
    2,336.88x = 5,107,269.10
  5. Step 5: Solve for x
    x = 5,107,269.10/2,336.88
  6. Step 6: Final answer
    x = 2,185.51

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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.