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Finding the Fourth Proportional to 2,503.78, 3,455.58 and 1,456.42

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Solution

The fourth proportional to 2,503.78, 3,455.58 and 1,456.42 is: 2,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.78 : 3,455.58 = 1,456.42 : x
  2. Step 2: Convert to fraction form
    2,503.78/3,455.58 = 1,456.42/x
  3. Step 3: Cross multiply
    2,503.78x = 3,455.58 × 1,456.42
  4. Step 4: Simplify right side
    2,503.78x = 5,032,775.82
  5. Step 5: Solve for x
    x = 5,032,775.82/2,503.78
  6. Step 6: Final answer
    x = 2,010.07

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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.