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Finding the Fourth Proportional to 1,641.56, 2,456.40 and 1,025.60

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Solution

The fourth proportional to 1,641.56, 2,456.40 and 1,025.60 is: 1,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.56 : 2,456.40 = 1,025.60 : x
  2. Step 2: Convert to fraction form
    1,641.56/2,456.40 = 1,025.60/x
  3. Step 3: Cross multiply
    1,641.56x = 2,456.40 × 1,025.60
  4. Step 4: Simplify right side
    1,641.56x = 2,519,283.84
  5. Step 5: Solve for x
    x = 2,519,283.84/1,641.56
  6. Step 6: Final answer
    x = 1,534.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.