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Finding the Fourth Proportional to 2,208.63, 3,047.88 and 1,214.00

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Solution

The fourth proportional to 2,208.63, 3,047.88 and 1,214.00 is: 1,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.63 : 3,047.88 = 1,214.00 : x
  2. Step 2: Convert to fraction form
    2,208.63/3,047.88 = 1,214.00/x
  3. Step 3: Cross multiply
    2,208.63x = 3,047.88 × 1,214.00
  4. Step 4: Simplify right side
    2,208.63x = 3,700,137.38
  5. Step 5: Solve for x
    x = 3,700,137.38/2,208.63
  6. Step 6: Final answer
    x = 1,675.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.