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Finding the Fourth Proportional to 2,009.69, 3,014.08 and 711.16

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Solution

The fourth proportional to 2,009.69, 3,014.08 and 711.16 is: 1,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.69 : 3,014.08 = 711.16 : x
  2. Step 2: Convert to fraction form
    2,009.69/3,014.08 = 711.16/x
  3. Step 3: Cross multiply
    2,009.69x = 3,014.08 × 711.16
  4. Step 4: Simplify right side
    2,009.69x = 2,143,483.82
  5. Step 5: Solve for x
    x = 2,143,483.82/2,009.69
  6. Step 6: Final answer
    x = 1,066.58

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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.