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Finding the Fourth Proportional to 2,011.16, 3,014.04 and 711.38

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Solution

The fourth proportional to 2,011.16, 3,014.04 and 711.38 is: 1,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.16 : 3,014.04 = 711.38 : x
  2. Step 2: Convert to fraction form
    2,011.16/3,014.04 = 711.38/x
  3. Step 3: Cross multiply
    2,011.16x = 3,014.04 × 711.38
  4. Step 4: Simplify right side
    2,011.16x = 2,144,127.78
  5. Step 5: Solve for x
    x = 2,144,127.78/2,011.16
  6. Step 6: Final answer
    x = 1,066.11

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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.