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Finding the Fourth Proportional to 3,254.70, 4,492.63 and 2,075.55

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Solution

The fourth proportional to 3,254.70, 4,492.63 and 2,075.55 is: 2,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.70 : 4,492.63 = 2,075.55 : x
  2. Step 2: Convert to fraction form
    3,254.70/4,492.63 = 2,075.55/x
  3. Step 3: Cross multiply
    3,254.70x = 4,492.63 × 2,075.55
  4. Step 4: Simplify right side
    3,254.70x = 9,324,678.20
  5. Step 5: Solve for x
    x = 9,324,678.20/3,254.70
  6. Step 6: Final answer
    x = 2,864.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.