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Finding the Fourth Proportional to 3,011.08, 4,516.62 and 1,471

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Solution

The fourth proportional to 3,011.08, 4,516.62 and 1,471 is: 2,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.08 : 4,516.62 = 1,471 : x
  2. Step 2: Convert to fraction form
    3,011.08/4,516.62 = 1,471/x
  3. Step 3: Cross multiply
    3,011.08x = 4,516.62 × 1,471
  4. Step 4: Simplify right side
    3,011.08x = 6,643,948.02
  5. Step 5: Solve for x
    x = 6,643,948.02/3,011.08
  6. Step 6: Final answer
    x = 2,206.50

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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.