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Finding the Fourth Proportional to 1,616.32, 2,228.88 and 1,320.64

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Solution

The fourth proportional to 1,616.32, 2,228.88 and 1,320.64 is: 1,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.32 : 2,228.88 = 1,320.64 : x
  2. Step 2: Convert to fraction form
    1,616.32/2,228.88 = 1,320.64/x
  3. Step 3: Cross multiply
    1,616.32x = 2,228.88 × 1,320.64
  4. Step 4: Simplify right side
    1,616.32x = 2,943,548.08
  5. Step 5: Solve for x
    x = 2,943,548.08/1,616.32
  6. Step 6: Final answer
    x = 1,821.14

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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.