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Finding the Fourth Proportional to 3,159.84, 4,735.68 and 1,512.96

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Solution

The fourth proportional to 3,159.84, 4,735.68 and 1,512.96 is: 2,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.84 : 4,735.68 = 1,512.96 : x
  2. Step 2: Convert to fraction form
    3,159.84/4,735.68 = 1,512.96/x
  3. Step 3: Cross multiply
    3,159.84x = 4,735.68 × 1,512.96
  4. Step 4: Simplify right side
    3,159.84x = 7,164,894.41
  5. Step 5: Solve for x
    x = 7,164,894.41/3,159.84
  6. Step 6: Final answer
    x = 2,267.49

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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.