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Finding the Fourth Proportional to 1,356.63, 1,870.34 and 1,077.78

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Solution

The fourth proportional to 1,356.63, 1,870.34 and 1,077.78 is: 1,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.63 : 1,870.34 = 1,077.78 : x
  2. Step 2: Convert to fraction form
    1,356.63/1,870.34 = 1,077.78/x
  3. Step 3: Cross multiply
    1,356.63x = 1,870.34 × 1,077.78
  4. Step 4: Simplify right side
    1,356.63x = 2,015,816.67
  5. Step 5: Solve for x
    x = 2,015,816.67/1,356.63
  6. Step 6: Final answer
    x = 1,485.90

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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.