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Finding the Fourth Proportional to 2,063.84, 2,849.34 and 1,356.80

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Solution

The fourth proportional to 2,063.84, 2,849.34 and 1,356.80 is: 1,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.84 : 2,849.34 = 1,356.80 : x
  2. Step 2: Convert to fraction form
    2,063.84/2,849.34 = 1,356.80/x
  3. Step 3: Cross multiply
    2,063.84x = 2,849.34 × 1,356.80
  4. Step 4: Simplify right side
    2,063.84x = 3,865,984.51
  5. Step 5: Solve for x
    x = 3,865,984.51/2,063.84
  6. Step 6: Final answer
    x = 1,873.20

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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.