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Finding the Fourth Proportional to 1,823.40, 2,733.21 and 782.55

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Solution

The fourth proportional to 1,823.40, 2,733.21 and 782.55 is: 1,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.40 : 2,733.21 = 782.55 : x
  2. Step 2: Convert to fraction form
    1,823.40/2,733.21 = 782.55/x
  3. Step 3: Cross multiply
    1,823.40x = 2,733.21 × 782.55
  4. Step 4: Simplify right side
    1,823.40x = 2,138,873.49
  5. Step 5: Solve for x
    x = 2,138,873.49/1,823.40
  6. Step 6: Final answer
    x = 1,173.01

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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.