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Finding the Fourth Proportional to 1,668.18, 2,494.98 and 1,362

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Solution

The fourth proportional to 1,668.18, 2,494.98 and 1,362 is: 2,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.18 : 2,494.98 = 1,362 : x
  2. Step 2: Convert to fraction form
    1,668.18/2,494.98 = 1,362/x
  3. Step 3: Cross multiply
    1,668.18x = 2,494.98 × 1,362
  4. Step 4: Simplify right side
    1,668.18x = 3,398,162.76
  5. Step 5: Solve for x
    x = 3,398,162.76/1,668.18
  6. Step 6: Final answer
    x = 2,037.05

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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.