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Finding the Fourth Proportional to 2,673.64, 4,013.34 and 2,506.60

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Solution

The fourth proportional to 2,673.64, 4,013.34 and 2,506.60 is: 3,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.64 : 4,013.34 = 2,506.60 : x
  2. Step 2: Convert to fraction form
    2,673.64/4,013.34 = 2,506.60/x
  3. Step 3: Cross multiply
    2,673.64x = 4,013.34 × 2,506.60
  4. Step 4: Simplify right side
    2,673.64x = 10,059,838.04
  5. Step 5: Solve for x
    x = 10,059,838.04/2,673.64
  6. Step 6: Final answer
    x = 3,762.60

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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.