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Finding the Fourth Proportional to 1,883.62, 2,825.91 and 585.10

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Solution

The fourth proportional to 1,883.62, 2,825.91 and 585.10 is: 877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.62 : 2,825.91 = 585.10 : x
  2. Step 2: Convert to fraction form
    1,883.62/2,825.91 = 585.10/x
  3. Step 3: Cross multiply
    1,883.62x = 2,825.91 × 585.10
  4. Step 4: Simplify right side
    1,883.62x = 1,653,439.94
  5. Step 5: Solve for x
    x = 1,653,439.94/1,883.62
  6. Step 6: Final answer
    x = 877.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.