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Finding the Fourth Proportional to 2,656.44, 3,658.23 and 2,648.34

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Solution

The fourth proportional to 2,656.44, 3,658.23 and 2,648.34 is: 3,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.44 : 3,658.23 = 2,648.34 : x
  2. Step 2: Convert to fraction form
    2,656.44/3,658.23 = 2,648.34/x
  3. Step 3: Cross multiply
    2,656.44x = 3,658.23 × 2,648.34
  4. Step 4: Simplify right side
    2,656.44x = 9,688,236.84
  5. Step 5: Solve for x
    x = 9,688,236.84/2,656.44
  6. Step 6: Final answer
    x = 3,647.08

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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.