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Finding the Fourth Proportional to 2,289.02, 3,433.73 and 645.59

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Solution

The fourth proportional to 2,289.02, 3,433.73 and 645.59 is: 968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.02 : 3,433.73 = 645.59 : x
  2. Step 2: Convert to fraction form
    2,289.02/3,433.73 = 645.59/x
  3. Step 3: Cross multiply
    2,289.02x = 3,433.73 × 645.59
  4. Step 4: Simplify right side
    2,289.02x = 2,216,787.11
  5. Step 5: Solve for x
    x = 2,216,787.11/2,289.02
  6. Step 6: Final answer
    x = 968.45

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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.