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Finding the Fourth Proportional to 2,896.76, 4,345.78 and 922.52

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Solution

The fourth proportional to 2,896.76, 4,345.78 and 922.52 is: 1,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.76 : 4,345.78 = 922.52 : x
  2. Step 2: Convert to fraction form
    2,896.76/4,345.78 = 922.52/x
  3. Step 3: Cross multiply
    2,896.76x = 4,345.78 × 922.52
  4. Step 4: Simplify right side
    2,896.76x = 4,009,068.97
  5. Step 5: Solve for x
    x = 4,009,068.97/2,896.76
  6. Step 6: Final answer
    x = 1,383.98

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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.