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Finding the Fourth Proportional to 2,375.02, 3,561.18 and 1,075.24

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Solution

The fourth proportional to 2,375.02, 3,561.18 and 1,075.24 is: 1,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.02 : 3,561.18 = 1,075.24 : x
  2. Step 2: Convert to fraction form
    2,375.02/3,561.18 = 1,075.24/x
  3. Step 3: Cross multiply
    2,375.02x = 3,561.18 × 1,075.24
  4. Step 4: Simplify right side
    2,375.02x = 3,829,123.18
  5. Step 5: Solve for x
    x = 3,829,123.18/2,375.02
  6. Step 6: Final answer
    x = 1,612.25

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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.