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Finding the Fourth Proportional to 2,317.75, 3,477.74 and 1,440.01

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Solution

The fourth proportional to 2,317.75, 3,477.74 and 1,440.01 is: 2,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.75 : 3,477.74 = 1,440.01 : x
  2. Step 2: Convert to fraction form
    2,317.75/3,477.74 = 1,440.01/x
  3. Step 3: Cross multiply
    2,317.75x = 3,477.74 × 1,440.01
  4. Step 4: Simplify right side
    2,317.75x = 5,007,977.52
  5. Step 5: Solve for x
    x = 5,007,977.52/2,317.75
  6. Step 6: Final answer
    x = 2,160.71

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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.