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Finding the Fourth Proportional to 2,946.78, 4,068.23 and 1,828.17

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Solution

The fourth proportional to 2,946.78, 4,068.23 and 1,828.17 is: 2,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.78 : 4,068.23 = 1,828.17 : x
  2. Step 2: Convert to fraction form
    2,946.78/4,068.23 = 1,828.17/x
  3. Step 3: Cross multiply
    2,946.78x = 4,068.23 × 1,828.17
  4. Step 4: Simplify right side
    2,946.78x = 7,437,406.90
  5. Step 5: Solve for x
    x = 7,437,406.90/2,946.78
  6. Step 6: Final answer
    x = 2,523.91

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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.