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Finding the Fourth Proportional to 2,169.93, 2,994.31 and 1,285.59

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Solution

The fourth proportional to 2,169.93, 2,994.31 and 1,285.59 is: 1,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.93 : 2,994.31 = 1,285.59 : x
  2. Step 2: Convert to fraction form
    2,169.93/2,994.31 = 1,285.59/x
  3. Step 3: Cross multiply
    2,169.93x = 2,994.31 × 1,285.59
  4. Step 4: Simplify right side
    2,169.93x = 3,849,454.99
  5. Step 5: Solve for x
    x = 3,849,454.99/2,169.93
  6. Step 6: Final answer
    x = 1,774.00

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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.