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Finding the Fourth Proportional to 2,980.54, 4,113.25 and 1,654.37

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Solution

The fourth proportional to 2,980.54, 4,113.25 and 1,654.37 is: 2,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.54 : 4,113.25 = 1,654.37 : x
  2. Step 2: Convert to fraction form
    2,980.54/4,113.25 = 1,654.37/x
  3. Step 3: Cross multiply
    2,980.54x = 4,113.25 × 1,654.37
  4. Step 4: Simplify right side
    2,980.54x = 6,804,828.13
  5. Step 5: Solve for x
    x = 6,804,828.13/2,980.54
  6. Step 6: Final answer
    x = 2,283.08

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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.