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Finding the Fourth Proportional to 2,355.90, 3,532.70 and 969

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Solution

The fourth proportional to 2,355.90, 3,532.70 and 969 is: 1,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.90 : 3,532.70 = 969 : x
  2. Step 2: Convert to fraction form
    2,355.90/3,532.70 = 969/x
  3. Step 3: Cross multiply
    2,355.90x = 3,532.70 × 969
  4. Step 4: Simplify right side
    2,355.90x = 3,423,186.30
  5. Step 5: Solve for x
    x = 3,423,186.30/2,355.90
  6. Step 6: Final answer
    x = 1,453.03

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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.