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Finding the Fourth Proportional to 2,014.46, 3,022.72 and 975.35

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Solution

The fourth proportional to 2,014.46, 3,022.72 and 975.35 is: 1,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.46 : 3,022.72 = 975.35 : x
  2. Step 2: Convert to fraction form
    2,014.46/3,022.72 = 975.35/x
  3. Step 3: Cross multiply
    2,014.46x = 3,022.72 × 975.35
  4. Step 4: Simplify right side
    2,014.46x = 2,948,209.95
  5. Step 5: Solve for x
    x = 2,948,209.95/2,014.46
  6. Step 6: Final answer
    x = 1,463.52

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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.