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Finding the Fourth Proportional to 2,980.16, 4,458.72 and 2,843.84

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Solution

The fourth proportional to 2,980.16, 4,458.72 and 2,843.84 is: 4,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.16 : 4,458.72 = 2,843.84 : x
  2. Step 2: Convert to fraction form
    2,980.16/4,458.72 = 2,843.84/x
  3. Step 3: Cross multiply
    2,980.16x = 4,458.72 × 2,843.84
  4. Step 4: Simplify right side
    2,980.16x = 12,679,886.28
  5. Step 5: Solve for x
    x = 12,679,886.28/2,980.16
  6. Step 6: Final answer
    x = 4,254.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.