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Finding the Fourth Proportional to 2,906.01, 4,356.72 and 1,588.95

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Solution

The fourth proportional to 2,906.01, 4,356.72 and 1,588.95 is: 2,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.01 : 4,356.72 = 1,588.95 : x
  2. Step 2: Convert to fraction form
    2,906.01/4,356.72 = 1,588.95/x
  3. Step 3: Cross multiply
    2,906.01x = 4,356.72 × 1,588.95
  4. Step 4: Simplify right side
    2,906.01x = 6,922,610.24
  5. Step 5: Solve for x
    x = 6,922,610.24/2,906.01
  6. Step 6: Final answer
    x = 2,382.17

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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.