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Finding the Fourth Proportional to 3,466.01, 4,782.80 and 1,953.69

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Solution

The fourth proportional to 3,466.01, 4,782.80 and 1,953.69 is: 2,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.01 : 4,782.80 = 1,953.69 : x
  2. Step 2: Convert to fraction form
    3,466.01/4,782.80 = 1,953.69/x
  3. Step 3: Cross multiply
    3,466.01x = 4,782.80 × 1,953.69
  4. Step 4: Simplify right side
    3,466.01x = 9,344,108.53
  5. Step 5: Solve for x
    x = 9,344,108.53/3,466.01
  6. Step 6: Final answer
    x = 2,695.93

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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.