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Finding the Fourth Proportional to 1,847.77, 2,549.95 and 1,102.16

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Solution

The fourth proportional to 1,847.77, 2,549.95 and 1,102.16 is: 1,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.77 : 2,549.95 = 1,102.16 : x
  2. Step 2: Convert to fraction form
    1,847.77/2,549.95 = 1,102.16/x
  3. Step 3: Cross multiply
    1,847.77x = 2,549.95 × 1,102.16
  4. Step 4: Simplify right side
    1,847.77x = 2,810,437.39
  5. Step 5: Solve for x
    x = 2,810,437.39/1,847.77
  6. Step 6: Final answer
    x = 1,520.99

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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.