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Finding the Fourth Proportional to 1,612.88, 2,415.48 and 1,355.60

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Solution

The fourth proportional to 1,612.88, 2,415.48 and 1,355.60 is: 2,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.88 : 2,415.48 = 1,355.60 : x
  2. Step 2: Convert to fraction form
    1,612.88/2,415.48 = 1,355.60/x
  3. Step 3: Cross multiply
    1,612.88x = 2,415.48 × 1,355.60
  4. Step 4: Simplify right side
    1,612.88x = 3,274,424.69
  5. Step 5: Solve for x
    x = 3,274,424.69/1,612.88
  6. Step 6: Final answer
    x = 2,030.17

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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.