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Finding the Fourth Proportional to 1,977.36, 2,732.16 and 1,907.28

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Solution

The fourth proportional to 1,977.36, 2,732.16 and 1,907.28 is: 2,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.36 : 2,732.16 = 1,907.28 : x
  2. Step 2: Convert to fraction form
    1,977.36/2,732.16 = 1,907.28/x
  3. Step 3: Cross multiply
    1,977.36x = 2,732.16 × 1,907.28
  4. Step 4: Simplify right side
    1,977.36x = 5,210,994.12
  5. Step 5: Solve for x
    x = 5,210,994.12/1,977.36
  6. Step 6: Final answer
    x = 2,635.33

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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.