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Finding the Fourth Proportional to 1,315.78, 1,969.10 and 951.28

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Solution

The fourth proportional to 1,315.78, 1,969.10 and 951.28 is: 1,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.78 : 1,969.10 = 951.28 : x
  2. Step 2: Convert to fraction form
    1,315.78/1,969.10 = 951.28/x
  3. Step 3: Cross multiply
    1,315.78x = 1,969.10 × 951.28
  4. Step 4: Simplify right side
    1,315.78x = 1,873,155.60
  5. Step 5: Solve for x
    x = 1,873,155.60/1,315.78
  6. Step 6: Final answer
    x = 1,423.61

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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.