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Finding the Fourth Proportional to 2,455.52, 3,678.64 and 1,901.17

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Solution

The fourth proportional to 2,455.52, 3,678.64 and 1,901.17 is: 2,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.52 : 3,678.64 = 1,901.17 : x
  2. Step 2: Convert to fraction form
    2,455.52/3,678.64 = 1,901.17/x
  3. Step 3: Cross multiply
    2,455.52x = 3,678.64 × 1,901.17
  4. Step 4: Simplify right side
    2,455.52x = 6,993,725.20
  5. Step 5: Solve for x
    x = 6,993,725.20/2,455.52
  6. Step 6: Final answer
    x = 2,848.17

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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.