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Finding the Fourth Proportional to 2,204.49, 3,041.60 and 1,419.00

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Solution

The fourth proportional to 2,204.49, 3,041.60 and 1,419.00 is: 1,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.49 : 3,041.60 = 1,419.00 : x
  2. Step 2: Convert to fraction form
    2,204.49/3,041.60 = 1,419.00/x
  3. Step 3: Cross multiply
    2,204.49x = 3,041.60 × 1,419.00
  4. Step 4: Simplify right side
    2,204.49x = 4,316,011.90
  5. Step 5: Solve for x
    x = 4,316,011.90/2,204.49
  6. Step 6: Final answer
    x = 1,957.82

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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.