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Finding the Fourth Proportional to 2,185.17, 3,279.77 and 886.74

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Solution

The fourth proportional to 2,185.17, 3,279.77 and 886.74 is: 1,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.17 : 3,279.77 = 886.74 : x
  2. Step 2: Convert to fraction form
    2,185.17/3,279.77 = 886.74/x
  3. Step 3: Cross multiply
    2,185.17x = 3,279.77 × 886.74
  4. Step 4: Simplify right side
    2,185.17x = 2,908,303.25
  5. Step 5: Solve for x
    x = 2,908,303.25/2,185.17
  6. Step 6: Final answer
    x = 1,330.93

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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.