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Finding the Fourth Proportional to 1,271.52, 1,907.28 and 1,203.60

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Solution

The fourth proportional to 1,271.52, 1,907.28 and 1,203.60 is: 1,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.52 : 1,907.28 = 1,203.60 : x
  2. Step 2: Convert to fraction form
    1,271.52/1,907.28 = 1,203.60/x
  3. Step 3: Cross multiply
    1,271.52x = 1,907.28 × 1,203.60
  4. Step 4: Simplify right side
    1,271.52x = 2,295,602.21
  5. Step 5: Solve for x
    x = 2,295,602.21/1,271.52
  6. Step 6: Final answer
    x = 1,805.40

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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.