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Finding the Fourth Proportional to 1,736.04, 2,396.90 and 1,264.80

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Solution

The fourth proportional to 1,736.04, 2,396.90 and 1,264.80 is: 1,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.04 : 2,396.90 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    1,736.04/2,396.90 = 1,264.80/x
  3. Step 3: Cross multiply
    1,736.04x = 2,396.90 × 1,264.80
  4. Step 4: Simplify right side
    1,736.04x = 3,031,599.12
  5. Step 5: Solve for x
    x = 3,031,599.12/1,736.04
  6. Step 6: Final answer
    x = 1,746.27

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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.