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Finding the Fourth Proportional to 1,577.88, 2,366.52 and 1,271.52

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Solution

The fourth proportional to 1,577.88, 2,366.52 and 1,271.52 is: 1,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.88 : 2,366.52 = 1,271.52 : x
  2. Step 2: Convert to fraction form
    1,577.88/2,366.52 = 1,271.52/x
  3. Step 3: Cross multiply
    1,577.88x = 2,366.52 × 1,271.52
  4. Step 4: Simplify right side
    1,577.88x = 3,009,079.40
  5. Step 5: Solve for x
    x = 3,009,079.40/1,577.88
  6. Step 6: Final answer
    x = 1,907.04

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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.