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Finding the Fourth Proportional to 2,898.10, 4,347.11 and 706.83

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Solution

The fourth proportional to 2,898.10, 4,347.11 and 706.83 is: 1,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.10 : 4,347.11 = 706.83 : x
  2. Step 2: Convert to fraction form
    2,898.10/4,347.11 = 706.83/x
  3. Step 3: Cross multiply
    2,898.10x = 4,347.11 × 706.83
  4. Step 4: Simplify right side
    2,898.10x = 3,072,667.76
  5. Step 5: Solve for x
    x = 3,072,667.76/2,898.10
  6. Step 6: Final answer
    x = 1,060.24

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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.