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Finding the Fourth Proportional to 2,720.90, 4,075.47 and 1,838.54

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Solution

The fourth proportional to 2,720.90, 4,075.47 and 1,838.54 is: 2,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.90 : 4,075.47 = 1,838.54 : x
  2. Step 2: Convert to fraction form
    2,720.90/4,075.47 = 1,838.54/x
  3. Step 3: Cross multiply
    2,720.90x = 4,075.47 × 1,838.54
  4. Step 4: Simplify right side
    2,720.90x = 7,492,914.61
  5. Step 5: Solve for x
    x = 7,492,914.61/2,720.90
  6. Step 6: Final answer
    x = 2,753.84

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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.