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Finding the Fourth Proportional to 2,953.95, 4,414.60 and 2,783.24

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Solution

The fourth proportional to 2,953.95, 4,414.60 and 2,783.24 is: 4,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.95 : 4,414.60 = 2,783.24 : x
  2. Step 2: Convert to fraction form
    2,953.95/4,414.60 = 2,783.24/x
  3. Step 3: Cross multiply
    2,953.95x = 4,414.60 × 2,783.24
  4. Step 4: Simplify right side
    2,953.95x = 12,286,903.78
  5. Step 5: Solve for x
    x = 12,286,903.78/2,953.95
  6. Step 6: Final answer
    x = 4,159.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.