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Finding the Fourth Proportional to 2,134.39, 2,946.02 and 1,390.39

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Solution

The fourth proportional to 2,134.39, 2,946.02 and 1,390.39 is: 1,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.39 : 2,946.02 = 1,390.39 : x
  2. Step 2: Convert to fraction form
    2,134.39/2,946.02 = 1,390.39/x
  3. Step 3: Cross multiply
    2,134.39x = 2,946.02 × 1,390.39
  4. Step 4: Simplify right side
    2,134.39x = 4,096,109.80
  5. Step 5: Solve for x
    x = 4,096,109.80/2,134.39
  6. Step 6: Final answer
    x = 1,919.10

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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.