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Finding the Fourth Proportional to 2,012.94, 2,778.35 and 1,423.67

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Solution

The fourth proportional to 2,012.94, 2,778.35 and 1,423.67 is: 1,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.94 : 2,778.35 = 1,423.67 : x
  2. Step 2: Convert to fraction form
    2,012.94/2,778.35 = 1,423.67/x
  3. Step 3: Cross multiply
    2,012.94x = 2,778.35 × 1,423.67
  4. Step 4: Simplify right side
    2,012.94x = 3,955,432.53
  5. Step 5: Solve for x
    x = 3,955,432.53/2,012.94
  6. Step 6: Final answer
    x = 1,965.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.