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Finding the Fourth Proportional to 2,356.59, 3,254.75 and 2,041.34

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Solution

The fourth proportional to 2,356.59, 3,254.75 and 2,041.34 is: 2,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.59 : 3,254.75 = 2,041.34 : x
  2. Step 2: Convert to fraction form
    2,356.59/3,254.75 = 2,041.34/x
  3. Step 3: Cross multiply
    2,356.59x = 3,254.75 × 2,041.34
  4. Step 4: Simplify right side
    2,356.59x = 6,644,032.54
  5. Step 5: Solve for x
    x = 6,644,032.54/2,356.59
  6. Step 6: Final answer
    x = 2,819.34

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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.