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Finding the Fourth Proportional to 3,416.70, 4,713.98 and 2,088.98

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Solution

The fourth proportional to 3,416.70, 4,713.98 and 2,088.98 is: 2,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.70 : 4,713.98 = 2,088.98 : x
  2. Step 2: Convert to fraction form
    3,416.70/4,713.98 = 2,088.98/x
  3. Step 3: Cross multiply
    3,416.70x = 4,713.98 × 2,088.98
  4. Step 4: Simplify right side
    3,416.70x = 9,847,409.94
  5. Step 5: Solve for x
    x = 9,847,409.94/3,416.70
  6. Step 6: Final answer
    x = 2,882.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.