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Finding the Fourth Proportional to 1,972.67, 2,959.13 and 675.05

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Solution

The fourth proportional to 1,972.67, 2,959.13 and 675.05 is: 1,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.67 : 2,959.13 = 675.05 : x
  2. Step 2: Convert to fraction form
    1,972.67/2,959.13 = 675.05/x
  3. Step 3: Cross multiply
    1,972.67x = 2,959.13 × 675.05
  4. Step 4: Simplify right side
    1,972.67x = 1,997,547.60
  5. Step 5: Solve for x
    x = 1,997,547.60/1,972.67
  6. Step 6: Final answer
    x = 1,012.61

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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.