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Finding the Fourth Proportional to 1,626.71, 2,436.41 and 894.67

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Solution

The fourth proportional to 1,626.71, 2,436.41 and 894.67 is: 1,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.71 : 2,436.41 = 894.67 : x
  2. Step 2: Convert to fraction form
    1,626.71/2,436.41 = 894.67/x
  3. Step 3: Cross multiply
    1,626.71x = 2,436.41 × 894.67
  4. Step 4: Simplify right side
    1,626.71x = 2,179,779.08
  5. Step 5: Solve for x
    x = 2,179,779.08/1,626.71
  6. Step 6: Final answer
    x = 1,340.00

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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.