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Finding the Fourth Proportional to 1,724.82, 2,575.54 and 1,355.46

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Solution

The fourth proportional to 1,724.82, 2,575.54 and 1,355.46 is: 2,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.82 : 2,575.54 = 1,355.46 : x
  2. Step 2: Convert to fraction form
    1,724.82/2,575.54 = 1,355.46/x
  3. Step 3: Cross multiply
    1,724.82x = 2,575.54 × 1,355.46
  4. Step 4: Simplify right side
    1,724.82x = 3,491,041.45
  5. Step 5: Solve for x
    x = 3,491,041.45/1,724.82
  6. Step 6: Final answer
    x = 2,024.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.