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Finding the Fourth Proportional to 2,104.64, 3,151.44 and 1,484.98

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Solution

The fourth proportional to 2,104.64, 3,151.44 and 1,484.98 is: 2,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.64 : 3,151.44 = 1,484.98 : x
  2. Step 2: Convert to fraction form
    2,104.64/3,151.44 = 1,484.98/x
  3. Step 3: Cross multiply
    2,104.64x = 3,151.44 × 1,484.98
  4. Step 4: Simplify right side
    2,104.64x = 4,679,825.37
  5. Step 5: Solve for x
    x = 4,679,825.37/2,104.64
  6. Step 6: Final answer
    x = 2,223.58

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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.