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Finding the Fourth Proportional to 2,009.59, 3,013.77 and 710.75

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Solution

The fourth proportional to 2,009.59, 3,013.77 and 710.75 is: 1,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.59 : 3,013.77 = 710.75 : x
  2. Step 2: Convert to fraction form
    2,009.59/3,013.77 = 710.75/x
  3. Step 3: Cross multiply
    2,009.59x = 3,013.77 × 710.75
  4. Step 4: Simplify right side
    2,009.59x = 2,142,037.03
  5. Step 5: Solve for x
    x = 2,142,037.03/2,009.59
  6. Step 6: Final answer
    x = 1,065.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.