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Finding the Fourth Proportional to 2,906.49, 4,360.95 and 1,264.42

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Solution

The fourth proportional to 2,906.49, 4,360.95 and 1,264.42 is: 1,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.49 : 4,360.95 = 1,264.42 : x
  2. Step 2: Convert to fraction form
    2,906.49/4,360.95 = 1,264.42/x
  3. Step 3: Cross multiply
    2,906.49x = 4,360.95 × 1,264.42
  4. Step 4: Simplify right side
    2,906.49x = 5,514,072.40
  5. Step 5: Solve for x
    x = 5,514,072.40/2,906.49
  6. Step 6: Final answer
    x = 1,897.16

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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.