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Finding the Fourth Proportional to 2,897, 4,345.46 and 705.73

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Solution

The fourth proportional to 2,897, 4,345.46 and 705.73 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897 : 4,345.46 = 705.73 : x
  2. Step 2: Convert to fraction form
    2,897/4,345.46 = 705.73/x
  3. Step 3: Cross multiply
    2,897x = 4,345.46 × 705.73
  4. Step 4: Simplify right side
    2,897x = 3,066,721.49
  5. Step 5: Solve for x
    x = 3,066,721.49/2,897
  6. Step 6: Final answer
    x = 1,058.59

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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.