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Finding the Fourth Proportional to 2,895.64, 4,343.88 and 1,662.84

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Solution

The fourth proportional to 2,895.64, 4,343.88 and 1,662.84 is: 2,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.64 : 4,343.88 = 1,662.84 : x
  2. Step 2: Convert to fraction form
    2,895.64/4,343.88 = 1,662.84/x
  3. Step 3: Cross multiply
    2,895.64x = 4,343.88 × 1,662.84
  4. Step 4: Simplify right side
    2,895.64x = 7,223,177.42
  5. Step 5: Solve for x
    x = 7,223,177.42/2,895.64
  6. Step 6: Final answer
    x = 2,494.50

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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.