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Finding the Fourth Proportional to 1,365.32, 1,880.86 and 1,128.28

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Solution

The fourth proportional to 1,365.32, 1,880.86 and 1,128.28 is: 1,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.32 : 1,880.86 = 1,128.28 : x
  2. Step 2: Convert to fraction form
    1,365.32/1,880.86 = 1,128.28/x
  3. Step 3: Cross multiply
    1,365.32x = 1,880.86 × 1,128.28
  4. Step 4: Simplify right side
    1,365.32x = 2,122,136.72
  5. Step 5: Solve for x
    x = 2,122,136.72/1,365.32
  6. Step 6: Final answer
    x = 1,554.31

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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.