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Finding the Fourth Proportional to 1,509.89, 2,083.55 and 920.30

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Solution

The fourth proportional to 1,509.89, 2,083.55 and 920.30 is: 1,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.89 : 2,083.55 = 920.30 : x
  2. Step 2: Convert to fraction form
    1,509.89/2,083.55 = 920.30/x
  3. Step 3: Cross multiply
    1,509.89x = 2,083.55 × 920.30
  4. Step 4: Simplify right side
    1,509.89x = 1,917,476.05
  5. Step 5: Solve for x
    x = 1,917,476.05/1,509.89
  6. Step 6: Final answer
    x = 1,269.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.