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Finding the Fourth Proportional to 2,904.33, 4,008.20 and 1,645.69

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Solution

The fourth proportional to 2,904.33, 4,008.20 and 1,645.69 is: 2,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.33 : 4,008.20 = 1,645.69 : x
  2. Step 2: Convert to fraction form
    2,904.33/4,008.20 = 1,645.69/x
  3. Step 3: Cross multiply
    2,904.33x = 4,008.20 × 1,645.69
  4. Step 4: Simplify right side
    2,904.33x = 6,596,254.66
  5. Step 5: Solve for x
    x = 6,596,254.66/2,904.33
  6. Step 6: Final answer
    x = 2,271.18

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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.