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Finding the Fourth Proportional to 1,962.67, 2,707.95 and 1,264.45

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Solution

The fourth proportional to 1,962.67, 2,707.95 and 1,264.45 is: 1,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.67 : 2,707.95 = 1,264.45 : x
  2. Step 2: Convert to fraction form
    1,962.67/2,707.95 = 1,264.45/x
  3. Step 3: Cross multiply
    1,962.67x = 2,707.95 × 1,264.45
  4. Step 4: Simplify right side
    1,962.67x = 3,424,067.38
  5. Step 5: Solve for x
    x = 3,424,067.38/1,962.67
  6. Step 6: Final answer
    x = 1,744.60

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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.