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Finding the Fourth Proportional to 2,948.66, 4,423.62 and 2,654.60

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Solution

The fourth proportional to 2,948.66, 4,423.62 and 2,654.60 is: 3,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.66 : 4,423.62 = 2,654.60 : x
  2. Step 2: Convert to fraction form
    2,948.66/4,423.62 = 2,654.60/x
  3. Step 3: Cross multiply
    2,948.66x = 4,423.62 × 2,654.60
  4. Step 4: Simplify right side
    2,948.66x = 11,742,941.65
  5. Step 5: Solve for x
    x = 11,742,941.65/2,948.66
  6. Step 6: Final answer
    x = 3,982.47

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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.