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Finding the Fourth Proportional to 2,107.34, 3,160.91 and 646.50

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Solution

The fourth proportional to 2,107.34, 3,160.91 and 646.50 is: 969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.34 : 3,160.91 = 646.50 : x
  2. Step 2: Convert to fraction form
    2,107.34/3,160.91 = 646.50/x
  3. Step 3: Cross multiply
    2,107.34x = 3,160.91 × 646.50
  4. Step 4: Simplify right side
    2,107.34x = 2,043,525.08
  5. Step 5: Solve for x
    x = 2,043,525.08/2,107.34
  6. Step 6: Final answer
    x = 969.72

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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.