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Finding the Fourth Proportional to 2,009.30, 3,012.06 and 710.06

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Solution

The fourth proportional to 2,009.30, 3,012.06 and 710.06 is: 1,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.30 : 3,012.06 = 710.06 : x
  2. Step 2: Convert to fraction form
    2,009.30/3,012.06 = 710.06/x
  3. Step 3: Cross multiply
    2,009.30x = 3,012.06 × 710.06
  4. Step 4: Simplify right side
    2,009.30x = 2,138,743.32
  5. Step 5: Solve for x
    x = 2,138,743.32/2,009.30
  6. Step 6: Final answer
    x = 1,064.42

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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.