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Finding the Fourth Proportional to 3,615.30, 4,988.70 and 2,043

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Solution

The fourth proportional to 3,615.30, 4,988.70 and 2,043 is: 2,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.30 : 4,988.70 = 2,043 : x
  2. Step 2: Convert to fraction form
    3,615.30/4,988.70 = 2,043/x
  3. Step 3: Cross multiply
    3,615.30x = 4,988.70 × 2,043
  4. Step 4: Simplify right side
    3,615.30x = 10,191,914.10
  5. Step 5: Solve for x
    x = 10,191,914.10/3,615.30
  6. Step 6: Final answer
    x = 2,819.11

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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.