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Finding the Fourth Proportional to 2,355.95, 3,533.33 and 969.67

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Solution

The fourth proportional to 2,355.95, 3,533.33 and 969.67 is: 1,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.95 : 3,533.33 = 969.67 : x
  2. Step 2: Convert to fraction form
    2,355.95/3,533.33 = 969.67/x
  3. Step 3: Cross multiply
    2,355.95x = 3,533.33 × 969.67
  4. Step 4: Simplify right side
    2,355.95x = 3,426,164.10
  5. Step 5: Solve for x
    x = 3,426,164.10/2,355.95
  6. Step 6: Final answer
    x = 1,454.26

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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.