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Finding the Fourth Proportional to 2,355.35, 3,533.79 and 969.34

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Solution

The fourth proportional to 2,355.35, 3,533.79 and 969.34 is: 1,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.35 : 3,533.79 = 969.34 : x
  2. Step 2: Convert to fraction form
    2,355.35/3,533.79 = 969.34/x
  3. Step 3: Cross multiply
    2,355.35x = 3,533.79 × 969.34
  4. Step 4: Simplify right side
    2,355.35x = 3,425,437.59
  5. Step 5: Solve for x
    x = 3,425,437.59/2,355.35
  6. Step 6: Final answer
    x = 1,454.32

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1.5x scale

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.