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Finding the Fourth Proportional to 2,707.80, 4,038.60 and 2,661

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Solution

The fourth proportional to 2,707.80, 4,038.60 and 2,661 is: 3,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,038.60 = 2,661 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,038.60 = 2,661/x
  3. Step 3: Cross multiply
    2,707.80x = 4,038.60 × 2,661
  4. Step 4: Simplify right side
    2,707.80x = 10,746,714.60
  5. Step 5: Solve for x
    x = 10,746,714.60/2,707.80
  6. Step 6: Final answer
    x = 3,968.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.