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Finding the Fourth Proportional to 2,590.95, 3,885.85 and 835.48

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Solution

The fourth proportional to 2,590.95, 3,885.85 and 835.48 is: 1,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.95 : 3,885.85 = 835.48 : x
  2. Step 2: Convert to fraction form
    2,590.95/3,885.85 = 835.48/x
  3. Step 3: Cross multiply
    2,590.95x = 3,885.85 × 835.48
  4. Step 4: Simplify right side
    2,590.95x = 3,246,549.96
  5. Step 5: Solve for x
    x = 3,246,549.96/2,590.95
  6. Step 6: Final answer
    x = 1,253.03

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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.