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Finding the Fourth Proportional to 2,285.34, 3,430.85 and 2,274.81

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Solution

The fourth proportional to 2,285.34, 3,430.85 and 2,274.81 is: 3,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.34 : 3,430.85 = 2,274.81 : x
  2. Step 2: Convert to fraction form
    2,285.34/3,430.85 = 2,274.81/x
  3. Step 3: Cross multiply
    2,285.34x = 3,430.85 × 2,274.81
  4. Step 4: Simplify right side
    2,285.34x = 7,804,520.51
  5. Step 5: Solve for x
    x = 7,804,520.51/2,285.34
  6. Step 6: Final answer
    x = 3,415.04

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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.