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Finding the Fourth Proportional to 1,264.62, 1,896.92 and 340.10

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Solution

The fourth proportional to 1,264.62, 1,896.92 and 340.10 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.62 : 1,896.92 = 340.10 : x
  2. Step 2: Convert to fraction form
    1,264.62/1,896.92 = 340.10/x
  3. Step 3: Cross multiply
    1,264.62x = 1,896.92 × 340.10
  4. Step 4: Simplify right side
    1,264.62x = 645,140.97
  5. Step 5: Solve for x
    x = 645,140.97/1,264.62
  6. Step 6: Final answer
    x = 510.15

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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.