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Finding the Fourth Proportional to 2,011.80, 3,017.70 and 1,037.36

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Solution

The fourth proportional to 2,011.80, 3,017.70 and 1,037.36 is: 1,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.80 : 3,017.70 = 1,037.36 : x
  2. Step 2: Convert to fraction form
    2,011.80/3,017.70 = 1,037.36/x
  3. Step 3: Cross multiply
    2,011.80x = 3,017.70 × 1,037.36
  4. Step 4: Simplify right side
    2,011.80x = 3,130,441.27
  5. Step 5: Solve for x
    x = 3,130,441.27/2,011.80
  6. Step 6: Final answer
    x = 1,556.04

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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.