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Finding the Fourth Proportional to 3,109.30, 4,664.02 and 918.10

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Solution

The fourth proportional to 3,109.30, 4,664.02 and 918.10 is: 1,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.30 : 4,664.02 = 918.10 : x
  2. Step 2: Convert to fraction form
    3,109.30/4,664.02 = 918.10/x
  3. Step 3: Cross multiply
    3,109.30x = 4,664.02 × 918.10
  4. Step 4: Simplify right side
    3,109.30x = 4,282,036.76
  5. Step 5: Solve for x
    x = 4,282,036.76/3,109.30
  6. Step 6: Final answer
    x = 1,377.17

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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.