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Finding the Fourth Proportional to 2,358.94, 3,535.44 and 896.35

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Solution

The fourth proportional to 2,358.94, 3,535.44 and 896.35 is: 1,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.94 : 3,535.44 = 896.35 : x
  2. Step 2: Convert to fraction form
    2,358.94/3,535.44 = 896.35/x
  3. Step 3: Cross multiply
    2,358.94x = 3,535.44 × 896.35
  4. Step 4: Simplify right side
    2,358.94x = 3,168,991.64
  5. Step 5: Solve for x
    x = 3,168,991.64/2,358.94
  6. Step 6: Final answer
    x = 1,343.40

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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.