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Finding the Fourth Proportional to 2,333.64, 3,225.56 and 2,051.76

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Solution

The fourth proportional to 2,333.64, 3,225.56 and 2,051.76 is: 2,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.64 : 3,225.56 = 2,051.76 : x
  2. Step 2: Convert to fraction form
    2,333.64/3,225.56 = 2,051.76/x
  3. Step 3: Cross multiply
    2,333.64x = 3,225.56 × 2,051.76
  4. Step 4: Simplify right side
    2,333.64x = 6,618,074.99
  5. Step 5: Solve for x
    x = 6,618,074.99/2,333.64
  6. Step 6: Final answer
    x = 2,835.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.