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Finding the Fourth Proportional to 2,011.32, 3,017.38 and 713.70

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Solution

The fourth proportional to 2,011.32, 3,017.38 and 713.70 is: 1,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.32 : 3,017.38 = 713.70 : x
  2. Step 2: Convert to fraction form
    2,011.32/3,017.38 = 713.70/x
  3. Step 3: Cross multiply
    2,011.32x = 3,017.38 × 713.70
  4. Step 4: Simplify right side
    2,011.32x = 2,153,504.11
  5. Step 5: Solve for x
    x = 2,153,504.11/2,011.32
  6. Step 6: Final answer
    x = 1,070.69

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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.