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Finding the Fourth Proportional to 2,415.73, 3,624.47 and 955.88

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Solution

The fourth proportional to 2,415.73, 3,624.47 and 955.88 is: 1,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.73 : 3,624.47 = 955.88 : x
  2. Step 2: Convert to fraction form
    2,415.73/3,624.47 = 955.88/x
  3. Step 3: Cross multiply
    2,415.73x = 3,624.47 × 955.88
  4. Step 4: Simplify right side
    2,415.73x = 3,464,553.60
  5. Step 5: Solve for x
    x = 3,464,553.60/2,415.73
  6. Step 6: Final answer
    x = 1,434.17

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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.