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Finding the Fourth Proportional to 3,160.32, 4,740.30 and 969.04

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Solution

The fourth proportional to 3,160.32, 4,740.30 and 969.04 is: 1,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.32 : 4,740.30 = 969.04 : x
  2. Step 2: Convert to fraction form
    3,160.32/4,740.30 = 969.04/x
  3. Step 3: Cross multiply
    3,160.32x = 4,740.30 × 969.04
  4. Step 4: Simplify right side
    3,160.32x = 4,593,530.18
  5. Step 5: Solve for x
    x = 4,593,530.18/3,160.32
  6. Step 6: Final answer
    x = 1,453.50

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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.