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Finding the Fourth Proportional to 1,618.47, 2,423.61 and 1,483.14

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Solution

The fourth proportional to 1,618.47, 2,423.61 and 1,483.14 is: 2,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.47 : 2,423.61 = 1,483.14 : x
  2. Step 2: Convert to fraction form
    1,618.47/2,423.61 = 1,483.14/x
  3. Step 3: Cross multiply
    1,618.47x = 2,423.61 × 1,483.14
  4. Step 4: Simplify right side
    1,618.47x = 3,594,552.94
  5. Step 5: Solve for x
    x = 3,594,552.94/1,618.47
  6. Step 6: Final answer
    x = 2,220.96

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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.