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Finding the Fourth Proportional to 3,302.55, 4,952.55 and 961.77

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Solution

The fourth proportional to 3,302.55, 4,952.55 and 961.77 is: 1,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.55 : 4,952.55 = 961.77 : x
  2. Step 2: Convert to fraction form
    3,302.55/4,952.55 = 961.77/x
  3. Step 3: Cross multiply
    3,302.55x = 4,952.55 × 961.77
  4. Step 4: Simplify right side
    3,302.55x = 4,763,214.01
  5. Step 5: Solve for x
    x = 4,763,214.01/3,302.55
  6. Step 6: Final answer
    x = 1,442.28

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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.