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Finding the Fourth Proportional to 2,014.35, 3,022.10 and 715.95

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Solution

The fourth proportional to 2,014.35, 3,022.10 and 715.95 is: 1,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.35 : 3,022.10 = 715.95 : x
  2. Step 2: Convert to fraction form
    2,014.35/3,022.10 = 715.95/x
  3. Step 3: Cross multiply
    2,014.35x = 3,022.10 × 715.95
  4. Step 4: Simplify right side
    2,014.35x = 2,163,668.92
  5. Step 5: Solve for x
    x = 2,163,668.92/2,014.35
  6. Step 6: Final answer
    x = 1,074.13

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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.