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Finding the Fourth Proportional to 1,894.57, 2,841.64 and 661.75

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Solution

The fourth proportional to 1,894.57, 2,841.64 and 661.75 is: 992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.57 : 2,841.64 = 661.75 : x
  2. Step 2: Convert to fraction form
    1,894.57/2,841.64 = 661.75/x
  3. Step 3: Cross multiply
    1,894.57x = 2,841.64 × 661.75
  4. Step 4: Simplify right side
    1,894.57x = 1,880,455.27
  5. Step 5: Solve for x
    x = 1,880,455.27/1,894.57
  6. Step 6: Final answer
    x = 992.55

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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.