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Finding the Fourth Proportional to 1,582.36, 2,183.70 and 883.72

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Solution

The fourth proportional to 1,582.36, 2,183.70 and 883.72 is: 1,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.36 : 2,183.70 = 883.72 : x
  2. Step 2: Convert to fraction form
    1,582.36/2,183.70 = 883.72/x
  3. Step 3: Cross multiply
    1,582.36x = 2,183.70 × 883.72
  4. Step 4: Simplify right side
    1,582.36x = 1,929,779.36
  5. Step 5: Solve for x
    x = 1,929,779.36/1,582.36
  6. Step 6: Final answer
    x = 1,219.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.