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Finding the Fourth Proportional to 1,376.36, 1,900.26 and 1,228.74

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Solution

The fourth proportional to 1,376.36, 1,900.26 and 1,228.74 is: 1,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.36 : 1,900.26 = 1,228.74 : x
  2. Step 2: Convert to fraction form
    1,376.36/1,900.26 = 1,228.74/x
  3. Step 3: Cross multiply
    1,376.36x = 1,900.26 × 1,228.74
  4. Step 4: Simplify right side
    1,376.36x = 2,334,925.47
  5. Step 5: Solve for x
    x = 2,334,925.47/1,376.36
  6. Step 6: Final answer
    x = 1,696.45

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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.