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Finding the Fourth Proportional to 1,576.35, 2,272.86 and 1,576.35

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Solution

The fourth proportional to 1,576.35, 2,272.86 and 1,576.35 is: 2,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.35 : 2,272.86 = 1,576.35 : x
  2. Step 2: Convert to fraction form
    1,576.35/2,272.86 = 1,576.35/x
  3. Step 3: Cross multiply
    1,576.35x = 2,272.86 × 1,576.35
  4. Step 4: Simplify right side
    1,576.35x = 3,582,822.86
  5. Step 5: Solve for x
    x = 3,582,822.86/1,576.35
  6. Step 6: Final answer
    x = 2,272.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.