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Finding the Fourth Proportional to 3,108.59, 4,663.23 and 917.32

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Solution

The fourth proportional to 3,108.59, 4,663.23 and 917.32 is: 1,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.59 : 4,663.23 = 917.32 : x
  2. Step 2: Convert to fraction form
    3,108.59/4,663.23 = 917.32/x
  3. Step 3: Cross multiply
    3,108.59x = 4,663.23 × 917.32
  4. Step 4: Simplify right side
    3,108.59x = 4,277,674.14
  5. Step 5: Solve for x
    x = 4,277,674.14/3,108.59
  6. Step 6: Final answer
    x = 1,376.08

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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.