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Finding the Fourth Proportional to 3,276.66, 4,521.64 and 1,784.57

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Solution

The fourth proportional to 3,276.66, 4,521.64 and 1,784.57 is: 2,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.66 : 4,521.64 = 1,784.57 : x
  2. Step 2: Convert to fraction form
    3,276.66/4,521.64 = 1,784.57/x
  3. Step 3: Cross multiply
    3,276.66x = 4,521.64 × 1,784.57
  4. Step 4: Simplify right side
    3,276.66x = 8,069,174.17
  5. Step 5: Solve for x
    x = 8,069,174.17/3,276.66
  6. Step 6: Final answer
    x = 2,462.62

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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.