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Finding the Fourth Proportional to 2,224.69, 3,070.06 and 1,230

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Solution

The fourth proportional to 2,224.69, 3,070.06 and 1,230 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.69 : 3,070.06 = 1,230 : x
  2. Step 2: Convert to fraction form
    2,224.69/3,070.06 = 1,230/x
  3. Step 3: Cross multiply
    2,224.69x = 3,070.06 × 1,230
  4. Step 4: Simplify right side
    2,224.69x = 3,776,173.80
  5. Step 5: Solve for x
    x = 3,776,173.80/2,224.69
  6. Step 6: Final answer
    x = 1,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.