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Finding the Fourth Proportional to 1,946.38, 2,919.56 and 578.38

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Solution

The fourth proportional to 1,946.38, 2,919.56 and 578.38 is: 867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.38 : 2,919.56 = 578.38 : x
  2. Step 2: Convert to fraction form
    1,946.38/2,919.56 = 578.38/x
  3. Step 3: Cross multiply
    1,946.38x = 2,919.56 × 578.38
  4. Step 4: Simplify right side
    1,946.38x = 1,688,615.11
  5. Step 5: Solve for x
    x = 1,688,615.11/1,946.38
  6. Step 6: Final answer
    x = 867.57

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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.