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Finding the Fourth Proportional to 2,460.10, 3,394.93 and 1,412.50

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Solution

The fourth proportional to 2,460.10, 3,394.93 and 1,412.50 is: 1,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.10 : 3,394.93 = 1,412.50 : x
  2. Step 2: Convert to fraction form
    2,460.10/3,394.93 = 1,412.50/x
  3. Step 3: Cross multiply
    2,460.10x = 3,394.93 × 1,412.50
  4. Step 4: Simplify right side
    2,460.10x = 4,795,331.56
  5. Step 5: Solve for x
    x = 4,795,331.56/2,460.10
  6. Step 6: Final answer
    x = 1,949.24

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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.