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Finding the Fourth Proportional to 1,390.64, 2,082.74 and 1,267.61

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Solution

The fourth proportional to 1,390.64, 2,082.74 and 1,267.61 is: 1,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.64 : 2,082.74 = 1,267.61 : x
  2. Step 2: Convert to fraction form
    1,390.64/2,082.74 = 1,267.61/x
  3. Step 3: Cross multiply
    1,390.64x = 2,082.74 × 1,267.61
  4. Step 4: Simplify right side
    1,390.64x = 2,640,085.30
  5. Step 5: Solve for x
    x = 2,640,085.30/1,390.64
  6. Step 6: Final answer
    x = 1,898.47

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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.