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Finding the Fourth Proportional to 2,145.63, 2,960.94 and 1,306.11

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Solution

The fourth proportional to 2,145.63, 2,960.94 and 1,306.11 is: 1,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.63 : 2,960.94 = 1,306.11 : x
  2. Step 2: Convert to fraction form
    2,145.63/2,960.94 = 1,306.11/x
  3. Step 3: Cross multiply
    2,145.63x = 2,960.94 × 1,306.11
  4. Step 4: Simplify right side
    2,145.63x = 3,867,313.34
  5. Step 5: Solve for x
    x = 3,867,313.34/2,145.63
  6. Step 6: Final answer
    x = 1,802.41

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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.