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Finding the Fourth Proportional to 1,582.33, 2,183.56 and 874.16

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Solution

The fourth proportional to 1,582.33, 2,183.56 and 874.16 is: 1,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.33 : 2,183.56 = 874.16 : x
  2. Step 2: Convert to fraction form
    1,582.33/2,183.56 = 874.16/x
  3. Step 3: Cross multiply
    1,582.33x = 2,183.56 × 874.16
  4. Step 4: Simplify right side
    1,582.33x = 1,908,787.36
  5. Step 5: Solve for x
    x = 1,908,787.36/1,582.33
  6. Step 6: Final answer
    x = 1,206.31

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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.