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Finding the Fourth Proportional to 1,495.36, 2,246.69 and 1,412.47

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Solution

The fourth proportional to 1,495.36, 2,246.69 and 1,412.47 is: 2,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.36 : 2,246.69 = 1,412.47 : x
  2. Step 2: Convert to fraction form
    1,495.36/2,246.69 = 1,412.47/x
  3. Step 3: Cross multiply
    1,495.36x = 2,246.69 × 1,412.47
  4. Step 4: Simplify right side
    1,495.36x = 3,173,382.22
  5. Step 5: Solve for x
    x = 3,173,382.22/1,495.36
  6. Step 6: Final answer
    x = 2,122.15

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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.