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Finding the Fourth Proportional to 4,601.51, 6,898.11 and 1,827.55

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Solution

The fourth proportional to 4,601.51, 6,898.11 and 1,827.55 is: 2,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.51 : 6,898.11 = 1,827.55 : x
  2. Step 2: Convert to fraction form
    4,601.51/6,898.11 = 1,827.55/x
  3. Step 3: Cross multiply
    4,601.51x = 6,898.11 × 1,827.55
  4. Step 4: Simplify right side
    4,601.51x = 12,606,631.79
  5. Step 5: Solve for x
    x = 12,606,631.79/4,601.51
  6. Step 6: Final answer
    x = 2,739.67

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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.