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Finding the Fourth Proportional to 2,720.65, 4,075.50 and 1,419.38

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Solution

The fourth proportional to 2,720.65, 4,075.50 and 1,419.38 is: 2,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.65 : 4,075.50 = 1,419.38 : x
  2. Step 2: Convert to fraction form
    2,720.65/4,075.50 = 1,419.38/x
  3. Step 3: Cross multiply
    2,720.65x = 4,075.50 × 1,419.38
  4. Step 4: Simplify right side
    2,720.65x = 5,784,689.64
  5. Step 5: Solve for x
    x = 5,784,689.64/2,720.65
  6. Step 6: Final answer
    x = 2,126.22

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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.