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Finding the Fourth Proportional to 2,043.84, 2,820.90 and 1,298.67

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Solution

The fourth proportional to 2,043.84, 2,820.90 and 1,298.67 is: 1,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.84 : 2,820.90 = 1,298.67 : x
  2. Step 2: Convert to fraction form
    2,043.84/2,820.90 = 1,298.67/x
  3. Step 3: Cross multiply
    2,043.84x = 2,820.90 × 1,298.67
  4. Step 4: Simplify right side
    2,043.84x = 3,663,418.20
  5. Step 5: Solve for x
    x = 3,663,418.20/2,043.84
  6. Step 6: Final answer
    x = 1,792.42

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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.