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Finding the Fourth Proportional to 3,166.02, 4,748.49 and 857.52

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Solution

The fourth proportional to 3,166.02, 4,748.49 and 857.52 is: 1,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.02 : 4,748.49 = 857.52 : x
  2. Step 2: Convert to fraction form
    3,166.02/4,748.49 = 857.52/x
  3. Step 3: Cross multiply
    3,166.02x = 4,748.49 × 857.52
  4. Step 4: Simplify right side
    3,166.02x = 4,071,925.14
  5. Step 5: Solve for x
    x = 4,071,925.14/3,166.02
  6. Step 6: Final answer
    x = 1,286.13

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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.