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Finding the Fourth Proportional to 2,460.80, 3,395.40 and 1,412.72

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Solution

The fourth proportional to 2,460.80, 3,395.40 and 1,412.72 is: 1,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.80 : 3,395.40 = 1,412.72 : x
  2. Step 2: Convert to fraction form
    2,460.80/3,395.40 = 1,412.72/x
  3. Step 3: Cross multiply
    2,460.80x = 3,395.40 × 1,412.72
  4. Step 4: Simplify right side
    2,460.80x = 4,796,749.49
  5. Step 5: Solve for x
    x = 4,796,749.49/2,460.80
  6. Step 6: Final answer
    x = 1,949.26

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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.