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Finding the Fourth Proportional to 1,458.39, 2,186.36 and 995.53

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Solution

The fourth proportional to 1,458.39, 2,186.36 and 995.53 is: 1,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.39 : 2,186.36 = 995.53 : x
  2. Step 2: Convert to fraction form
    1,458.39/2,186.36 = 995.53/x
  3. Step 3: Cross multiply
    1,458.39x = 2,186.36 × 995.53
  4. Step 4: Simplify right side
    1,458.39x = 2,176,586.97
  5. Step 5: Solve for x
    x = 2,176,586.97/1,458.39
  6. Step 6: Final answer
    x = 1,492.46

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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.