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Finding the Fourth Proportional to 2,148.66, 2,964.98 and 1,204.28

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Solution

The fourth proportional to 2,148.66, 2,964.98 and 1,204.28 is: 1,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.66 : 2,964.98 = 1,204.28 : x
  2. Step 2: Convert to fraction form
    2,148.66/2,964.98 = 1,204.28/x
  3. Step 3: Cross multiply
    2,148.66x = 2,964.98 × 1,204.28
  4. Step 4: Simplify right side
    2,148.66x = 3,570,666.11
  5. Step 5: Solve for x
    x = 3,570,666.11/2,148.66
  6. Step 6: Final answer
    x = 1,661.81

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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.