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Finding the Fourth Proportional to 2,006.10, 3,009.42 and 707.58

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Solution

The fourth proportional to 2,006.10, 3,009.42 and 707.58 is: 1,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.10 : 3,009.42 = 707.58 : x
  2. Step 2: Convert to fraction form
    2,006.10/3,009.42 = 707.58/x
  3. Step 3: Cross multiply
    2,006.10x = 3,009.42 × 707.58
  4. Step 4: Simplify right side
    2,006.10x = 2,129,405.40
  5. Step 5: Solve for x
    x = 2,129,405.40/2,006.10
  6. Step 6: Final answer
    x = 1,061.47

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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.