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Finding the Fourth Proportional to 1,625.10, 2,435.85 and 895.20

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Solution

The fourth proportional to 1,625.10, 2,435.85 and 895.20 is: 1,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.10 : 2,435.85 = 895.20 : x
  2. Step 2: Convert to fraction form
    1,625.10/2,435.85 = 895.20/x
  3. Step 3: Cross multiply
    1,625.10x = 2,435.85 × 895.20
  4. Step 4: Simplify right side
    1,625.10x = 2,180,572.92
  5. Step 5: Solve for x
    x = 2,180,572.92/1,625.10
  6. Step 6: Final answer
    x = 1,341.81

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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.