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Finding the Fourth Proportional to 1,266, 1,748.04 and 1,224.40

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Solution

The fourth proportional to 1,266, 1,748.04 and 1,224.40 is: 1,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266 : 1,748.04 = 1,224.40 : x
  2. Step 2: Convert to fraction form
    1,266/1,748.04 = 1,224.40/x
  3. Step 3: Cross multiply
    1,266x = 1,748.04 × 1,224.40
  4. Step 4: Simplify right side
    1,266x = 2,140,300.18
  5. Step 5: Solve for x
    x = 2,140,300.18/1,266
  6. Step 6: Final answer
    x = 1,690.60

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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.