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Finding the Fourth Proportional to 2,114.58, 3,167.58 and 1,015.65

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Solution

The fourth proportional to 2,114.58, 3,167.58 and 1,015.65 is: 1,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.58 : 3,167.58 = 1,015.65 : x
  2. Step 2: Convert to fraction form
    2,114.58/3,167.58 = 1,015.65/x
  3. Step 3: Cross multiply
    2,114.58x = 3,167.58 × 1,015.65
  4. Step 4: Simplify right side
    2,114.58x = 3,217,152.63
  5. Step 5: Solve for x
    x = 3,217,152.63/2,114.58
  6. Step 6: Final answer
    x = 1,521.41

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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.