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Finding the Fourth Proportional to 1,218.84, 1,828.20 and 341.35

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Solution

The fourth proportional to 1,218.84, 1,828.20 and 341.35 is: 512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.84 : 1,828.20 = 341.35 : x
  2. Step 2: Convert to fraction form
    1,218.84/1,828.20 = 341.35/x
  3. Step 3: Cross multiply
    1,218.84x = 1,828.20 × 341.35
  4. Step 4: Simplify right side
    1,218.84x = 624,056.07
  5. Step 5: Solve for x
    x = 624,056.07/1,218.84
  6. Step 6: Final answer
    x = 512.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.