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Finding the Fourth Proportional to 1,356.32, 1,868.46 and 1,119.26

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Solution

The fourth proportional to 1,356.32, 1,868.46 and 1,119.26 is: 1,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.32 : 1,868.46 = 1,119.26 : x
  2. Step 2: Convert to fraction form
    1,356.32/1,868.46 = 1,119.26/x
  3. Step 3: Cross multiply
    1,356.32x = 1,868.46 × 1,119.26
  4. Step 4: Simplify right side
    1,356.32x = 2,091,292.54
  5. Step 5: Solve for x
    x = 2,091,292.54/1,356.32
  6. Step 6: Final answer
    x = 1,541.89

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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.