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Finding the Fourth Proportional to 2,904.78, 4,008.51 and 2,122.14

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Solution

The fourth proportional to 2,904.78, 4,008.51 and 2,122.14 is: 2,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.78 : 4,008.51 = 2,122.14 : x
  2. Step 2: Convert to fraction form
    2,904.78/4,008.51 = 2,122.14/x
  3. Step 3: Cross multiply
    2,904.78x = 4,008.51 × 2,122.14
  4. Step 4: Simplify right side
    2,904.78x = 8,506,619.41
  5. Step 5: Solve for x
    x = 8,506,619.41/2,904.78
  6. Step 6: Final answer
    x = 2,928.49

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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.