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Finding the Fourth Proportional to 3,075.88, 4,611.63 and 1,689.86

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Solution

The fourth proportional to 3,075.88, 4,611.63 and 1,689.86 is: 2,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.88 : 4,611.63 = 1,689.86 : x
  2. Step 2: Convert to fraction form
    3,075.88/4,611.63 = 1,689.86/x
  3. Step 3: Cross multiply
    3,075.88x = 4,611.63 × 1,689.86
  4. Step 4: Simplify right side
    3,075.88x = 7,793,009.07
  5. Step 5: Solve for x
    x = 7,793,009.07/3,075.88
  6. Step 6: Final answer
    x = 2,533.59

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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.