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Finding the Fourth Proportional to 2,317.94, 3,477.11 and 931.10

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Solution

The fourth proportional to 2,317.94, 3,477.11 and 931.10 is: 1,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.94 : 3,477.11 = 931.10 : x
  2. Step 2: Convert to fraction form
    2,317.94/3,477.11 = 931.10/x
  3. Step 3: Cross multiply
    2,317.94x = 3,477.11 × 931.10
  4. Step 4: Simplify right side
    2,317.94x = 3,237,526.78
  5. Step 5: Solve for x
    x = 3,237,526.78/2,317.94
  6. Step 6: Final answer
    x = 1,396.72

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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.