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Finding the Fourth Proportional to 2,374, 3,561.57 and 1,075.12

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Solution

The fourth proportional to 2,374, 3,561.57 and 1,075.12 is: 1,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374 : 3,561.57 = 1,075.12 : x
  2. Step 2: Convert to fraction form
    2,374/3,561.57 = 1,075.12/x
  3. Step 3: Cross multiply
    2,374x = 3,561.57 × 1,075.12
  4. Step 4: Simplify right side
    2,374x = 3,829,115.14
  5. Step 5: Solve for x
    x = 3,829,115.14/2,374
  6. Step 6: Final answer
    x = 1,612.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.