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Finding the Fourth Proportional to 2,142.62, 3,210 and 1,798.16

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Solution

The fourth proportional to 2,142.62, 3,210 and 1,798.16 is: 2,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.62 : 3,210 = 1,798.16 : x
  2. Step 2: Convert to fraction form
    2,142.62/3,210 = 1,798.16/x
  3. Step 3: Cross multiply
    2,142.62x = 3,210 × 1,798.16
  4. Step 4: Simplify right side
    2,142.62x = 5,772,093.60
  5. Step 5: Solve for x
    x = 5,772,093.60/2,142.62
  6. Step 6: Final answer
    x = 2,693.94

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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.