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Finding the Fourth Proportional to 2,308.86, 3,465.26 and 923.17

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Solution

The fourth proportional to 2,308.86, 3,465.26 and 923.17 is: 1,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.86 : 3,465.26 = 923.17 : x
  2. Step 2: Convert to fraction form
    2,308.86/3,465.26 = 923.17/x
  3. Step 3: Cross multiply
    2,308.86x = 3,465.26 × 923.17
  4. Step 4: Simplify right side
    2,308.86x = 3,199,024.07
  5. Step 5: Solve for x
    x = 3,199,024.07/2,308.86
  6. Step 6: Final answer
    x = 1,385.54

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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.