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Finding the Fourth Proportional to 2,590.36, 3,885.44 and 835.36

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Solution

The fourth proportional to 2,590.36, 3,885.44 and 835.36 is: 1,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.36 : 3,885.44 = 835.36 : x
  2. Step 2: Convert to fraction form
    2,590.36/3,885.44 = 835.36/x
  3. Step 3: Cross multiply
    2,590.36x = 3,885.44 × 835.36
  4. Step 4: Simplify right side
    2,590.36x = 3,245,741.16
  5. Step 5: Solve for x
    x = 3,245,741.16/2,590.36
  6. Step 6: Final answer
    x = 1,253.01

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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.