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Finding the Fourth Proportional to 2,285.62, 3,155.32 and 1,401.91

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Solution

The fourth proportional to 2,285.62, 3,155.32 and 1,401.91 is: 1,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.62 : 3,155.32 = 1,401.91 : x
  2. Step 2: Convert to fraction form
    2,285.62/3,155.32 = 1,401.91/x
  3. Step 3: Cross multiply
    2,285.62x = 3,155.32 × 1,401.91
  4. Step 4: Simplify right side
    2,285.62x = 4,423,468.53
  5. Step 5: Solve for x
    x = 4,423,468.53/2,285.62
  6. Step 6: Final answer
    x = 1,935.35

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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.