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Finding the Fourth Proportional to 2,011.64, 3,017.40 and 1,357.82

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Solution

The fourth proportional to 2,011.64, 3,017.40 and 1,357.82 is: 2,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.64 : 3,017.40 = 1,357.82 : x
  2. Step 2: Convert to fraction form
    2,011.64/3,017.40 = 1,357.82/x
  3. Step 3: Cross multiply
    2,011.64x = 3,017.40 × 1,357.82
  4. Step 4: Simplify right side
    2,011.64x = 4,097,081.92
  5. Step 5: Solve for x
    x = 4,097,081.92/2,011.64
  6. Step 6: Final answer
    x = 2,036.68

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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.