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Finding the Fourth Proportional to 3,415.32, 4,712.64 and 1,922.94

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Solution

The fourth proportional to 3,415.32, 4,712.64 and 1,922.94 is: 2,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.32 : 4,712.64 = 1,922.94 : x
  2. Step 2: Convert to fraction form
    3,415.32/4,712.64 = 1,922.94/x
  3. Step 3: Cross multiply
    3,415.32x = 4,712.64 × 1,922.94
  4. Step 4: Simplify right side
    3,415.32x = 9,062,140.55
  5. Step 5: Solve for x
    x = 9,062,140.55/3,415.32
  6. Step 6: Final answer
    x = 2,653.38

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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.