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Finding the Fourth Proportional to 1,618.70, 2,428.05 and 694.10

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Solution

The fourth proportional to 1,618.70, 2,428.05 and 694.10 is: 1,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.70 : 2,428.05 = 694.10 : x
  2. Step 2: Convert to fraction form
    1,618.70/2,428.05 = 694.10/x
  3. Step 3: Cross multiply
    1,618.70x = 2,428.05 × 694.10
  4. Step 4: Simplify right side
    1,618.70x = 1,685,309.51
  5. Step 5: Solve for x
    x = 1,685,309.51/1,618.70
  6. Step 6: Final answer
    x = 1,041.15

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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.