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Finding the Fourth Proportional to 1,928.12, 2,889.77 and 887.01

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Solution

The fourth proportional to 1,928.12, 2,889.77 and 887.01 is: 1,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.12 : 2,889.77 = 887.01 : x
  2. Step 2: Convert to fraction form
    1,928.12/2,889.77 = 887.01/x
  3. Step 3: Cross multiply
    1,928.12x = 2,889.77 × 887.01
  4. Step 4: Simplify right side
    1,928.12x = 2,563,254.89
  5. Step 5: Solve for x
    x = 2,563,254.89/1,928.12
  6. Step 6: Final answer
    x = 1,329.41

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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.