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Finding the Fourth Proportional to 1,743.12, 2,612.70 and 817.80

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Solution

The fourth proportional to 1,743.12, 2,612.70 and 817.80 is: 1,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.12 : 2,612.70 = 817.80 : x
  2. Step 2: Convert to fraction form
    1,743.12/2,612.70 = 817.80/x
  3. Step 3: Cross multiply
    1,743.12x = 2,612.70 × 817.80
  4. Step 4: Simplify right side
    1,743.12x = 2,136,666.06
  5. Step 5: Solve for x
    x = 2,136,666.06/1,743.12
  6. Step 6: Final answer
    x = 1,225.77

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1.5x scale

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.