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Finding the Fourth Proportional to 1,654.86, 2,283.69 and 908.83

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Solution

The fourth proportional to 1,654.86, 2,283.69 and 908.83 is: 1,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.86 : 2,283.69 = 908.83 : x
  2. Step 2: Convert to fraction form
    1,654.86/2,283.69 = 908.83/x
  3. Step 3: Cross multiply
    1,654.86x = 2,283.69 × 908.83
  4. Step 4: Simplify right side
    1,654.86x = 2,075,470.02
  5. Step 5: Solve for x
    x = 2,075,470.02/1,654.86
  6. Step 6: Final answer
    x = 1,254.17

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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.