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Finding the Fourth Proportional to 2,374.78, 3,561.74 and 1,075.94

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Solution

The fourth proportional to 2,374.78, 3,561.74 and 1,075.94 is: 1,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.78 : 3,561.74 = 1,075.94 : x
  2. Step 2: Convert to fraction form
    2,374.78/3,561.74 = 1,075.94/x
  3. Step 3: Cross multiply
    2,374.78x = 3,561.74 × 1,075.94
  4. Step 4: Simplify right side
    2,374.78x = 3,832,218.54
  5. Step 5: Solve for x
    x = 3,832,218.54/2,374.78
  6. Step 6: Final answer
    x = 1,613.72

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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.