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Finding the Fourth Proportional to 2,924.88, 4,387.74 and 1,075.80

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Solution

The fourth proportional to 2,924.88, 4,387.74 and 1,075.80 is: 1,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.88 : 4,387.74 = 1,075.80 : x
  2. Step 2: Convert to fraction form
    2,924.88/4,387.74 = 1,075.80/x
  3. Step 3: Cross multiply
    2,924.88x = 4,387.74 × 1,075.80
  4. Step 4: Simplify right side
    2,924.88x = 4,720,330.69
  5. Step 5: Solve for x
    x = 4,720,330.69/2,924.88
  6. Step 6: Final answer
    x = 1,613.85

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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.