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Finding the Fourth Proportional to 2,980.84, 4,113.63 and 1,636.51

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Solution

The fourth proportional to 2,980.84, 4,113.63 and 1,636.51 is: 2,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.84 : 4,113.63 = 1,636.51 : x
  2. Step 2: Convert to fraction form
    2,980.84/4,113.63 = 1,636.51/x
  3. Step 3: Cross multiply
    2,980.84x = 4,113.63 × 1,636.51
  4. Step 4: Simplify right side
    2,980.84x = 6,731,967.88
  5. Step 5: Solve for x
    x = 6,731,967.88/2,980.84
  6. Step 6: Final answer
    x = 2,258.42

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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.