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Finding the Fourth Proportional to 2,011.70, 3,017.64 and 1,039.70

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Solution

The fourth proportional to 2,011.70, 3,017.64 and 1,039.70 is: 1,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.70 : 3,017.64 = 1,039.70 : x
  2. Step 2: Convert to fraction form
    2,011.70/3,017.64 = 1,039.70/x
  3. Step 3: Cross multiply
    2,011.70x = 3,017.64 × 1,039.70
  4. Step 4: Simplify right side
    2,011.70x = 3,137,440.31
  5. Step 5: Solve for x
    x = 3,137,440.31/2,011.70
  6. Step 6: Final answer
    x = 1,559.60

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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.