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Finding the Fourth Proportional to 2,483.76, 3,428.01 and 1,436.46

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Solution

The fourth proportional to 2,483.76, 3,428.01 and 1,436.46 is: 1,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.76 : 3,428.01 = 1,436.46 : x
  2. Step 2: Convert to fraction form
    2,483.76/3,428.01 = 1,436.46/x
  3. Step 3: Cross multiply
    2,483.76x = 3,428.01 × 1,436.46
  4. Step 4: Simplify right side
    2,483.76x = 4,924,199.24
  5. Step 5: Solve for x
    x = 4,924,199.24/2,483.76
  6. Step 6: Final answer
    x = 1,982.56

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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.