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Finding the Fourth Proportional to 1,388.64, 1,916.40 and 1,155.36

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Solution

The fourth proportional to 1,388.64, 1,916.40 and 1,155.36 is: 1,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.64 : 1,916.40 = 1,155.36 : x
  2. Step 2: Convert to fraction form
    1,388.64/1,916.40 = 1,155.36/x
  3. Step 3: Cross multiply
    1,388.64x = 1,916.40 × 1,155.36
  4. Step 4: Simplify right side
    1,388.64x = 2,214,131.90
  5. Step 5: Solve for x
    x = 2,214,131.90/1,388.64
  6. Step 6: Final answer
    x = 1,594.46

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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.