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Finding the Fourth Proportional to 1,365.12, 1,880.82 and 1,297.08

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Solution

The fourth proportional to 1,365.12, 1,880.82 and 1,297.08 is: 1,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.12 : 1,880.82 = 1,297.08 : x
  2. Step 2: Convert to fraction form
    1,365.12/1,880.82 = 1,297.08/x
  3. Step 3: Cross multiply
    1,365.12x = 1,880.82 × 1,297.08
  4. Step 4: Simplify right side
    1,365.12x = 2,439,574.01
  5. Step 5: Solve for x
    x = 2,439,574.01/1,365.12
  6. Step 6: Final answer
    x = 1,787.08

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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.