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Finding the Fourth Proportional to 1,376.36, 1,897.14 and 1,077.08

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Solution

The fourth proportional to 1,376.36, 1,897.14 and 1,077.08 is: 1,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.36 : 1,897.14 = 1,077.08 : x
  2. Step 2: Convert to fraction form
    1,376.36/1,897.14 = 1,077.08/x
  3. Step 3: Cross multiply
    1,376.36x = 1,897.14 × 1,077.08
  4. Step 4: Simplify right side
    1,376.36x = 2,043,371.55
  5. Step 5: Solve for x
    x = 2,043,371.55/1,376.36
  6. Step 6: Final answer
    x = 1,484.62

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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.