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Finding the Fourth Proportional to 2,095.34, 3,142.92 and 556.34

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Solution

The fourth proportional to 2,095.34, 3,142.92 and 556.34 is: 834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.34 : 3,142.92 = 556.34 : x
  2. Step 2: Convert to fraction form
    2,095.34/3,142.92 = 556.34/x
  3. Step 3: Cross multiply
    2,095.34x = 3,142.92 × 556.34
  4. Step 4: Simplify right side
    2,095.34x = 1,748,532.11
  5. Step 5: Solve for x
    x = 1,748,532.11/2,095.34
  6. Step 6: Final answer
    x = 834.49

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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.