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Finding the Fourth Proportional to 1,904.64, 2,630.52 and 1,654.62

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Solution

The fourth proportional to 1,904.64, 2,630.52 and 1,654.62 is: 2,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.64 : 2,630.52 = 1,654.62 : x
  2. Step 2: Convert to fraction form
    1,904.64/2,630.52 = 1,654.62/x
  3. Step 3: Cross multiply
    1,904.64x = 2,630.52 × 1,654.62
  4. Step 4: Simplify right side
    1,904.64x = 4,352,511.00
  5. Step 5: Solve for x
    x = 4,352,511.00/1,904.64
  6. Step 6: Final answer
    x = 2,285.21

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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.