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Finding the Fourth Proportional to 3,102.28, 4,653.38 and 910.93

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Solution

The fourth proportional to 3,102.28, 4,653.38 and 910.93 is: 1,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.28 : 4,653.38 = 910.93 : x
  2. Step 2: Convert to fraction form
    3,102.28/4,653.38 = 910.93/x
  3. Step 3: Cross multiply
    3,102.28x = 4,653.38 × 910.93
  4. Step 4: Simplify right side
    3,102.28x = 4,238,875.62
  5. Step 5: Solve for x
    x = 4,238,875.62/3,102.28
  6. Step 6: Final answer
    x = 1,366.38

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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.