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Finding the Fourth Proportional to 1,356.36, 1,873.78 and 1,075.70

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Solution

The fourth proportional to 1,356.36, 1,873.78 and 1,075.70 is: 1,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.36 : 1,873.78 = 1,075.70 : x
  2. Step 2: Convert to fraction form
    1,356.36/1,873.78 = 1,075.70/x
  3. Step 3: Cross multiply
    1,356.36x = 1,873.78 × 1,075.70
  4. Step 4: Simplify right side
    1,356.36x = 2,015,625.15
  5. Step 5: Solve for x
    x = 2,015,625.15/1,356.36
  6. Step 6: Final answer
    x = 1,486.05

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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.