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Finding the Fourth Proportional to 2,948.48, 4,068 and 1,706.24

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Solution

The fourth proportional to 2,948.48, 4,068 and 1,706.24 is: 2,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.48 : 4,068 = 1,706.24 : x
  2. Step 2: Convert to fraction form
    2,948.48/4,068 = 1,706.24/x
  3. Step 3: Cross multiply
    2,948.48x = 4,068 × 1,706.24
  4. Step 4: Simplify right side
    2,948.48x = 6,940,984.32
  5. Step 5: Solve for x
    x = 6,940,984.32/2,948.48
  6. Step 6: Final answer
    x = 2,354.09

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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.