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Finding the Fourth Proportional to 2,880.02, 3,975.01 and 1,701.41

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Solution

The fourth proportional to 2,880.02, 3,975.01 and 1,701.41 is: 2,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.02 : 3,975.01 = 1,701.41 : x
  2. Step 2: Convert to fraction form
    2,880.02/3,975.01 = 1,701.41/x
  3. Step 3: Cross multiply
    2,880.02x = 3,975.01 × 1,701.41
  4. Step 4: Simplify right side
    2,880.02x = 6,763,097.64
  5. Step 5: Solve for x
    x = 6,763,097.64/2,880.02
  6. Step 6: Final answer
    x = 2,348.28

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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.