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Finding the Fourth Proportional to 2,047.48, 2,825.10 and 1,208.14

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Solution

The fourth proportional to 2,047.48, 2,825.10 and 1,208.14 is: 1,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.48 : 2,825.10 = 1,208.14 : x
  2. Step 2: Convert to fraction form
    2,047.48/2,825.10 = 1,208.14/x
  3. Step 3: Cross multiply
    2,047.48x = 2,825.10 × 1,208.14
  4. Step 4: Simplify right side
    2,047.48x = 3,413,116.31
  5. Step 5: Solve for x
    x = 3,413,116.31/2,047.48
  6. Step 6: Final answer
    x = 1,666.98

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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.