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Finding the Fourth Proportional to 1,563.66, 2,355.93 and 1,415.61

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Solution

The fourth proportional to 1,563.66, 2,355.93 and 1,415.61 is: 2,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.66 : 2,355.93 = 1,415.61 : x
  2. Step 2: Convert to fraction form
    1,563.66/2,355.93 = 1,415.61/x
  3. Step 3: Cross multiply
    1,563.66x = 2,355.93 × 1,415.61
  4. Step 4: Simplify right side
    1,563.66x = 3,335,078.07
  5. Step 5: Solve for x
    x = 3,335,078.07/1,563.66
  6. Step 6: Final answer
    x = 2,132.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.