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Finding the Fourth Proportional to 2,507.78, 3,460.68 and 1,460.42

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Solution

The fourth proportional to 2,507.78, 3,460.68 and 1,460.42 is: 2,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.78 : 3,460.68 = 1,460.42 : x
  2. Step 2: Convert to fraction form
    2,507.78/3,460.68 = 1,460.42/x
  3. Step 3: Cross multiply
    2,507.78x = 3,460.68 × 1,460.42
  4. Step 4: Simplify right side
    2,507.78x = 5,054,046.29
  5. Step 5: Solve for x
    x = 5,054,046.29/2,507.78
  6. Step 6: Final answer
    x = 2,015.35

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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.