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Finding the Fourth Proportional to 2,355.63, 3,532.76 and 950.05

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Solution

The fourth proportional to 2,355.63, 3,532.76 and 950.05 is: 1,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.63 : 3,532.76 = 950.05 : x
  2. Step 2: Convert to fraction form
    2,355.63/3,532.76 = 950.05/x
  3. Step 3: Cross multiply
    2,355.63x = 3,532.76 × 950.05
  4. Step 4: Simplify right side
    2,355.63x = 3,356,283.35
  5. Step 5: Solve for x
    x = 3,356,283.35/2,355.63
  6. Step 6: Final answer
    x = 1,424.79

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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.