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Finding the Fourth Proportional to 2,815.32, 3,880.98 and 1,820.52

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Solution

The fourth proportional to 2,815.32, 3,880.98 and 1,820.52 is: 2,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.32 : 3,880.98 = 1,820.52 : x
  2. Step 2: Convert to fraction form
    2,815.32/3,880.98 = 1,820.52/x
  3. Step 3: Cross multiply
    2,815.32x = 3,880.98 × 1,820.52
  4. Step 4: Simplify right side
    2,815.32x = 7,065,401.71
  5. Step 5: Solve for x
    x = 7,065,401.71/2,815.32
  6. Step 6: Final answer
    x = 2,509.63

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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.