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Finding the Fourth Proportional to 2,069.63, 2,855.95 and 1,138.07

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Solution

The fourth proportional to 2,069.63, 2,855.95 and 1,138.07 is: 1,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.63 : 2,855.95 = 1,138.07 : x
  2. Step 2: Convert to fraction form
    2,069.63/2,855.95 = 1,138.07/x
  3. Step 3: Cross multiply
    2,069.63x = 2,855.95 × 1,138.07
  4. Step 4: Simplify right side
    2,069.63x = 3,250,271.02
  5. Step 5: Solve for x
    x = 3,250,271.02/2,069.63
  6. Step 6: Final answer
    x = 1,570.46

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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.