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Finding the Fourth Proportional to 1,312.65, 1,959.89 and 1,299.51

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Solution

The fourth proportional to 1,312.65, 1,959.89 and 1,299.51 is: 1,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.65 : 1,959.89 = 1,299.51 : x
  2. Step 2: Convert to fraction form
    1,312.65/1,959.89 = 1,299.51/x
  3. Step 3: Cross multiply
    1,312.65x = 1,959.89 × 1,299.51
  4. Step 4: Simplify right side
    1,312.65x = 2,546,890.16
  5. Step 5: Solve for x
    x = 2,546,890.16/1,312.65
  6. Step 6: Final answer
    x = 1,940.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.