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Finding the Fourth Proportional to 2,011.69, 3,017.49 and 916.35

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Solution

The fourth proportional to 2,011.69, 3,017.49 and 916.35 is: 1,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.69 : 3,017.49 = 916.35 : x
  2. Step 2: Convert to fraction form
    2,011.69/3,017.49 = 916.35/x
  3. Step 3: Cross multiply
    2,011.69x = 3,017.49 × 916.35
  4. Step 4: Simplify right side
    2,011.69x = 2,765,061.87
  5. Step 5: Solve for x
    x = 2,765,061.87/2,011.69
  6. Step 6: Final answer
    x = 1,374.50

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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.