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Finding the Fourth Proportional to 1,621.56, 2,233.84 and 1,123.32

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Solution

The fourth proportional to 1,621.56, 2,233.84 and 1,123.32 is: 1,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.56 : 2,233.84 = 1,123.32 : x
  2. Step 2: Convert to fraction form
    1,621.56/2,233.84 = 1,123.32/x
  3. Step 3: Cross multiply
    1,621.56x = 2,233.84 × 1,123.32
  4. Step 4: Simplify right side
    1,621.56x = 2,509,317.15
  5. Step 5: Solve for x
    x = 2,509,317.15/1,621.56
  6. Step 6: Final answer
    x = 1,547.47

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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.