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Finding the Fourth Proportional to 3,075.18, 4,609.14 and 1,689.18

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Solution

The fourth proportional to 3,075.18, 4,609.14 and 1,689.18 is: 2,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.18 : 4,609.14 = 1,689.18 : x
  2. Step 2: Convert to fraction form
    3,075.18/4,609.14 = 1,689.18/x
  3. Step 3: Cross multiply
    3,075.18x = 4,609.14 × 1,689.18
  4. Step 4: Simplify right side
    3,075.18x = 7,785,667.11
  5. Step 5: Solve for x
    x = 7,785,667.11/3,075.18
  6. Step 6: Final answer
    x = 2,531.78

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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.