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Finding the Fourth Proportional to 2,289.62, 3,434.41 and 646.16

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Solution

The fourth proportional to 2,289.62, 3,434.41 and 646.16 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.62 : 3,434.41 = 646.16 : x
  2. Step 2: Convert to fraction form
    2,289.62/3,434.41 = 646.16/x
  3. Step 3: Cross multiply
    2,289.62x = 3,434.41 × 646.16
  4. Step 4: Simplify right side
    2,289.62x = 2,219,167.74
  5. Step 5: Solve for x
    x = 2,219,167.74/2,289.62
  6. Step 6: Final answer
    x = 969.23

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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.