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Finding the Fourth Proportional to 1,783.28, 2,458.67 and 1,152.74

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Solution

The fourth proportional to 1,783.28, 2,458.67 and 1,152.74 is: 1,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.28 : 2,458.67 = 1,152.74 : x
  2. Step 2: Convert to fraction form
    1,783.28/2,458.67 = 1,152.74/x
  3. Step 3: Cross multiply
    1,783.28x = 2,458.67 × 1,152.74
  4. Step 4: Simplify right side
    1,783.28x = 2,834,189.20
  5. Step 5: Solve for x
    x = 2,834,189.20/1,783.28
  6. Step 6: Final answer
    x = 1,589.32

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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.