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Finding the Fourth Proportional to 1,884.16, 2,600.08 and 1,087.28

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Solution

The fourth proportional to 1,884.16, 2,600.08 and 1,087.28 is: 1,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.16 : 2,600.08 = 1,087.28 : x
  2. Step 2: Convert to fraction form
    1,884.16/2,600.08 = 1,087.28/x
  3. Step 3: Cross multiply
    1,884.16x = 2,600.08 × 1,087.28
  4. Step 4: Simplify right side
    1,884.16x = 2,827,014.98
  5. Step 5: Solve for x
    x = 2,827,014.98/1,884.16
  6. Step 6: Final answer
    x = 1,500.41

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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.