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Finding the Fourth Proportional to 2,823.85, 3,898.29 and 1,880.20

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Solution

The fourth proportional to 2,823.85, 3,898.29 and 1,880.20 is: 2,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.85 : 3,898.29 = 1,880.20 : x
  2. Step 2: Convert to fraction form
    2,823.85/3,898.29 = 1,880.20/x
  3. Step 3: Cross multiply
    2,823.85x = 3,898.29 × 1,880.20
  4. Step 4: Simplify right side
    2,823.85x = 7,329,564.86
  5. Step 5: Solve for x
    x = 7,329,564.86/2,823.85
  6. Step 6: Final answer
    x = 2,595.59

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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.