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Finding the Fourth Proportional to 2,533.19, 3,495.74 and 1,414.17

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Solution

The fourth proportional to 2,533.19, 3,495.74 and 1,414.17 is: 1,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.19 : 3,495.74 = 1,414.17 : x
  2. Step 2: Convert to fraction form
    2,533.19/3,495.74 = 1,414.17/x
  3. Step 3: Cross multiply
    2,533.19x = 3,495.74 × 1,414.17
  4. Step 4: Simplify right side
    2,533.19x = 4,943,563.56
  5. Step 5: Solve for x
    x = 4,943,563.56/2,533.19
  6. Step 6: Final answer
    x = 1,951.52

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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.