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Finding the Fourth Proportional to 2,898.06, 4,347.01 and 706.78

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Solution

The fourth proportional to 2,898.06, 4,347.01 and 706.78 is: 1,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.06 : 4,347.01 = 706.78 : x
  2. Step 2: Convert to fraction form
    2,898.06/4,347.01 = 706.78/x
  3. Step 3: Cross multiply
    2,898.06x = 4,347.01 × 706.78
  4. Step 4: Simplify right side
    2,898.06x = 3,072,379.73
  5. Step 5: Solve for x
    x = 3,072,379.73/2,898.06
  6. Step 6: Final answer
    x = 1,060.15

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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.