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Finding the Fourth Proportional to 2,715.60, 4,075.80 and 2,326.80

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Solution

The fourth proportional to 2,715.60, 4,075.80 and 2,326.80 is: 3,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.60 : 4,075.80 = 2,326.80 : x
  2. Step 2: Convert to fraction form
    2,715.60/4,075.80 = 2,326.80/x
  3. Step 3: Cross multiply
    2,715.60x = 4,075.80 × 2,326.80
  4. Step 4: Simplify right side
    2,715.60x = 9,483,571.44
  5. Step 5: Solve for x
    x = 9,483,571.44/2,715.60
  6. Step 6: Final answer
    x = 3,492.26

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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.