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Finding the Fourth Proportional to 2,068.43, 3,101.02 and 1,417.19

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Solution

The fourth proportional to 2,068.43, 3,101.02 and 1,417.19 is: 2,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.43 : 3,101.02 = 1,417.19 : x
  2. Step 2: Convert to fraction form
    2,068.43/3,101.02 = 1,417.19/x
  3. Step 3: Cross multiply
    2,068.43x = 3,101.02 × 1,417.19
  4. Step 4: Simplify right side
    2,068.43x = 4,394,715.49
  5. Step 5: Solve for x
    x = 4,394,715.49/2,068.43
  6. Step 6: Final answer
    x = 2,124.67

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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.