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Finding the Fourth Proportional to 2,720.94, 4,075.71 and 1,742.10

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Solution

The fourth proportional to 2,720.94, 4,075.71 and 1,742.10 is: 2,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.94 : 4,075.71 = 1,742.10 : x
  2. Step 2: Convert to fraction form
    2,720.94/4,075.71 = 1,742.10/x
  3. Step 3: Cross multiply
    2,720.94x = 4,075.71 × 1,742.10
  4. Step 4: Simplify right side
    2,720.94x = 7,100,294.39
  5. Step 5: Solve for x
    x = 7,100,294.39/2,720.94
  6. Step 6: Final answer
    x = 2,609.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.