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Finding the Fourth Proportional to 1,821.98, 2,512.25 and 1,497.67

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Solution

The fourth proportional to 1,821.98, 2,512.25 and 1,497.67 is: 2,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.98 : 2,512.25 = 1,497.67 : x
  2. Step 2: Convert to fraction form
    1,821.98/2,512.25 = 1,497.67/x
  3. Step 3: Cross multiply
    1,821.98x = 2,512.25 × 1,497.67
  4. Step 4: Simplify right side
    1,821.98x = 3,762,508.90
  5. Step 5: Solve for x
    x = 3,762,508.90/1,821.98
  6. Step 6: Final answer
    x = 2,065.07

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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.