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Finding the Fourth Proportional to 3,167.94, 4,752.45 and 1,193.40

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Solution

The fourth proportional to 3,167.94, 4,752.45 and 1,193.40 is: 1,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.94 : 4,752.45 = 1,193.40 : x
  2. Step 2: Convert to fraction form
    3,167.94/4,752.45 = 1,193.40/x
  3. Step 3: Cross multiply
    3,167.94x = 4,752.45 × 1,193.40
  4. Step 4: Simplify right side
    3,167.94x = 5,671,573.83
  5. Step 5: Solve for x
    x = 5,671,573.83/3,167.94
  6. Step 6: Final answer
    x = 1,790.30

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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.