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Finding the Fourth Proportional to 2,717.88, 4,075.02 and 1,420.26

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Solution

The fourth proportional to 2,717.88, 4,075.02 and 1,420.26 is: 2,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.88 : 4,075.02 = 1,420.26 : x
  2. Step 2: Convert to fraction form
    2,717.88/4,075.02 = 1,420.26/x
  3. Step 3: Cross multiply
    2,717.88x = 4,075.02 × 1,420.26
  4. Step 4: Simplify right side
    2,717.88x = 5,787,587.91
  5. Step 5: Solve for x
    x = 5,787,587.91/2,717.88
  6. Step 6: Final answer
    x = 2,129.45

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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.