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Finding the Fourth Proportional to 2,256.48, 3,385.08 and 696.42

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Solution

The fourth proportional to 2,256.48, 3,385.08 and 696.42 is: 1,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.48 : 3,385.08 = 696.42 : x
  2. Step 2: Convert to fraction form
    2,256.48/3,385.08 = 696.42/x
  3. Step 3: Cross multiply
    2,256.48x = 3,385.08 × 696.42
  4. Step 4: Simplify right side
    2,256.48x = 2,357,437.41
  5. Step 5: Solve for x
    x = 2,357,437.41/2,256.48
  6. Step 6: Final answer
    x = 1,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.