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Finding the Fourth Proportional to 1,806.30, 2,491.02 and 1,412.64

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Solution

The fourth proportional to 1,806.30, 2,491.02 and 1,412.64 is: 1,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.30 : 2,491.02 = 1,412.64 : x
  2. Step 2: Convert to fraction form
    1,806.30/2,491.02 = 1,412.64/x
  3. Step 3: Cross multiply
    1,806.30x = 2,491.02 × 1,412.64
  4. Step 4: Simplify right side
    1,806.30x = 3,518,914.49
  5. Step 5: Solve for x
    x = 3,518,914.49/1,806.30
  6. Step 6: Final answer
    x = 1,948.13

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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.