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Finding the Fourth Proportional to 2,904.30, 4,005.90 and 2,064.96

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Solution

The fourth proportional to 2,904.30, 4,005.90 and 2,064.96 is: 2,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.30 : 4,005.90 = 2,064.96 : x
  2. Step 2: Convert to fraction form
    2,904.30/4,005.90 = 2,064.96/x
  3. Step 3: Cross multiply
    2,904.30x = 4,005.90 × 2,064.96
  4. Step 4: Simplify right side
    2,904.30x = 8,272,023.26
  5. Step 5: Solve for x
    x = 8,272,023.26/2,904.30
  6. Step 6: Final answer
    x = 2,848.20

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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.