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Finding the Fourth Proportional to 2,169.64, 2,994.13 and 1,285.53

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Solution

The fourth proportional to 2,169.64, 2,994.13 and 1,285.53 is: 1,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.64 : 2,994.13 = 1,285.53 : x
  2. Step 2: Convert to fraction form
    2,169.64/2,994.13 = 1,285.53/x
  3. Step 3: Cross multiply
    2,169.64x = 2,994.13 × 1,285.53
  4. Step 4: Simplify right side
    2,169.64x = 3,849,043.94
  5. Step 5: Solve for x
    x = 3,849,043.94/2,169.64
  6. Step 6: Final answer
    x = 1,774.05

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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.