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Finding the Fourth Proportional to 1,210.51, 1,824.01 and 995.94

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Solution

The fourth proportional to 1,210.51, 1,824.01 and 995.94 is: 1,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.51 : 1,824.01 = 995.94 : x
  2. Step 2: Convert to fraction form
    1,210.51/1,824.01 = 995.94/x
  3. Step 3: Cross multiply
    1,210.51x = 1,824.01 × 995.94
  4. Step 4: Simplify right side
    1,210.51x = 1,816,604.52
  5. Step 5: Solve for x
    x = 1,816,604.52/1,210.51
  6. Step 6: Final answer
    x = 1,500.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.