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Finding the Fourth Proportional to 4,764.42, 7,146.57 and 1,840.67

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Solution

The fourth proportional to 4,764.42, 7,146.57 and 1,840.67 is: 2,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.42 : 7,146.57 = 1,840.67 : x
  2. Step 2: Convert to fraction form
    4,764.42/7,146.57 = 1,840.67/x
  3. Step 3: Cross multiply
    4,764.42x = 7,146.57 × 1,840.67
  4. Step 4: Simplify right side
    4,764.42x = 13,154,477.00
  5. Step 5: Solve for x
    x = 13,154,477.00/4,764.42
  6. Step 6: Final answer
    x = 2,760.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.