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Finding the Fourth Proportional to 1,468.37, 2,026.19 and 838.85

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Solution

The fourth proportional to 1,468.37, 2,026.19 and 838.85 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.37 : 2,026.19 = 838.85 : x
  2. Step 2: Convert to fraction form
    1,468.37/2,026.19 = 838.85/x
  3. Step 3: Cross multiply
    1,468.37x = 2,026.19 × 838.85
  4. Step 4: Simplify right side
    1,468.37x = 1,699,655.16
  5. Step 5: Solve for x
    x = 1,699,655.16/1,468.37
  6. Step 6: Final answer
    x = 1,157.52

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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.