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Finding the Fourth Proportional to 1,374.35, 1,894.39 and 1,075.07

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Solution

The fourth proportional to 1,374.35, 1,894.39 and 1,075.07 is: 1,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.35 : 1,894.39 = 1,075.07 : x
  2. Step 2: Convert to fraction form
    1,374.35/1,894.39 = 1,075.07/x
  3. Step 3: Cross multiply
    1,374.35x = 1,894.39 × 1,075.07
  4. Step 4: Simplify right side
    1,374.35x = 2,036,601.86
  5. Step 5: Solve for x
    x = 2,036,601.86/1,374.35
  6. Step 6: Final answer
    x = 1,481.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.