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Finding the Fourth Proportional to 2,216.69, 3,059.33 and 1,430.58

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Solution

The fourth proportional to 2,216.69, 3,059.33 and 1,430.58 is: 1,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.69 : 3,059.33 = 1,430.58 : x
  2. Step 2: Convert to fraction form
    2,216.69/3,059.33 = 1,430.58/x
  3. Step 3: Cross multiply
    2,216.69x = 3,059.33 × 1,430.58
  4. Step 4: Simplify right side
    2,216.69x = 4,376,616.31
  5. Step 5: Solve for x
    x = 4,376,616.31/2,216.69
  6. Step 6: Final answer
    x = 1,974.39

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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.