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Finding the Fourth Proportional to 2,810.34, 4,216.01 and 961.02

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Solution

The fourth proportional to 2,810.34, 4,216.01 and 961.02 is: 1,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.34 : 4,216.01 = 961.02 : x
  2. Step 2: Convert to fraction form
    2,810.34/4,216.01 = 961.02/x
  3. Step 3: Cross multiply
    2,810.34x = 4,216.01 × 961.02
  4. Step 4: Simplify right side
    2,810.34x = 4,051,669.93
  5. Step 5: Solve for x
    x = 4,051,669.93/2,810.34
  6. Step 6: Final answer
    x = 1,441.70

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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.