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Finding the Fourth Proportional to 1,626.87, 2,440.71 and 805.53

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Solution

The fourth proportional to 1,626.87, 2,440.71 and 805.53 is: 1,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.87 : 2,440.71 = 805.53 : x
  2. Step 2: Convert to fraction form
    1,626.87/2,440.71 = 805.53/x
  3. Step 3: Cross multiply
    1,626.87x = 2,440.71 × 805.53
  4. Step 4: Simplify right side
    1,626.87x = 1,966,065.13
  5. Step 5: Solve for x
    x = 1,966,065.13/1,626.87
  6. Step 6: Final answer
    x = 1,208.50

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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.