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Finding the Fourth Proportional to 1,820.62, 2,730.91 and 895.35

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Solution

The fourth proportional to 1,820.62, 2,730.91 and 895.35 is: 1,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.62 : 2,730.91 = 895.35 : x
  2. Step 2: Convert to fraction form
    1,820.62/2,730.91 = 895.35/x
  3. Step 3: Cross multiply
    1,820.62x = 2,730.91 × 895.35
  4. Step 4: Simplify right side
    1,820.62x = 2,445,120.27
  5. Step 5: Solve for x
    x = 2,445,120.27/1,820.62
  6. Step 6: Final answer
    x = 1,343.02

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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.