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Finding the Fourth Proportional to 2,284.64, 3,425.84 and 898.56

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Solution

The fourth proportional to 2,284.64, 3,425.84 and 898.56 is: 1,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.64 : 3,425.84 = 898.56 : x
  2. Step 2: Convert to fraction form
    2,284.64/3,425.84 = 898.56/x
  3. Step 3: Cross multiply
    2,284.64x = 3,425.84 × 898.56
  4. Step 4: Simplify right side
    2,284.64x = 3,078,322.79
  5. Step 5: Solve for x
    x = 3,078,322.79/2,284.64
  6. Step 6: Final answer
    x = 1,347.40

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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.