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Finding the Fourth Proportional to 3,111.40, 4,666.90 and 920.15

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Solution

The fourth proportional to 3,111.40, 4,666.90 and 920.15 is: 1,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.40 : 4,666.90 = 920.15 : x
  2. Step 2: Convert to fraction form
    3,111.40/4,666.90 = 920.15/x
  3. Step 3: Cross multiply
    3,111.40x = 4,666.90 × 920.15
  4. Step 4: Simplify right side
    3,111.40x = 4,294,248.04
  5. Step 5: Solve for x
    x = 4,294,248.04/3,111.40
  6. Step 6: Final answer
    x = 1,380.17

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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.