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Finding the Fourth Proportional to 2,612.70, 3,603.51 and 1,563.66

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Solution

The fourth proportional to 2,612.70, 3,603.51 and 1,563.66 is: 2,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.70 : 3,603.51 = 1,563.66 : x
  2. Step 2: Convert to fraction form
    2,612.70/3,603.51 = 1,563.66/x
  3. Step 3: Cross multiply
    2,612.70x = 3,603.51 × 1,563.66
  4. Step 4: Simplify right side
    2,612.70x = 5,634,664.45
  5. Step 5: Solve for x
    x = 5,634,664.45/2,612.70
  6. Step 6: Final answer
    x = 2,156.64

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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.