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Finding the Fourth Proportional to 2,145.72, 3,202.71 and 2,130.60

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Solution

The fourth proportional to 2,145.72, 3,202.71 and 2,130.60 is: 3,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.72 : 3,202.71 = 2,130.60 : x
  2. Step 2: Convert to fraction form
    2,145.72/3,202.71 = 2,130.60/x
  3. Step 3: Cross multiply
    2,145.72x = 3,202.71 × 2,130.60
  4. Step 4: Simplify right side
    2,145.72x = 6,823,693.93
  5. Step 5: Solve for x
    x = 6,823,693.93/2,145.72
  6. Step 6: Final answer
    x = 3,180.14

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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.