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Finding the Fourth Proportional to 1,626.10, 2,435.10 and 1,302.10

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Solution

The fourth proportional to 1,626.10, 2,435.10 and 1,302.10 is: 1,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.10 : 2,435.10 = 1,302.10 : x
  2. Step 2: Convert to fraction form
    1,626.10/2,435.10 = 1,302.10/x
  3. Step 3: Cross multiply
    1,626.10x = 2,435.10 × 1,302.10
  4. Step 4: Simplify right side
    1,626.10x = 3,170,743.71
  5. Step 5: Solve for x
    x = 3,170,743.71/1,626.10
  6. Step 6: Final answer
    x = 1,949.91

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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.