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Finding the Fourth Proportional to 1,390.44, 1,919.40 and 971.40

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Solution

The fourth proportional to 1,390.44, 1,919.40 and 971.40 is: 1,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.44 : 1,919.40 = 971.40 : x
  2. Step 2: Convert to fraction form
    1,390.44/1,919.40 = 971.40/x
  3. Step 3: Cross multiply
    1,390.44x = 1,919.40 × 971.40
  4. Step 4: Simplify right side
    1,390.44x = 1,864,505.16
  5. Step 5: Solve for x
    x = 1,864,505.16/1,390.44
  6. Step 6: Final answer
    x = 1,340.95

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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.