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Finding the Fourth Proportional to 1,639.21, 2,457.53 and 817.06

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Solution

The fourth proportional to 1,639.21, 2,457.53 and 817.06 is: 1,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.21 : 2,457.53 = 817.06 : x
  2. Step 2: Convert to fraction form
    1,639.21/2,457.53 = 817.06/x
  3. Step 3: Cross multiply
    1,639.21x = 2,457.53 × 817.06
  4. Step 4: Simplify right side
    1,639.21x = 2,007,948.45
  5. Step 5: Solve for x
    x = 2,007,948.45/1,639.21
  6. Step 6: Final answer
    x = 1,224.95

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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.