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Finding the Fourth Proportional to 1,823.80, 2,734.70 and 897.32

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Solution

The fourth proportional to 1,823.80, 2,734.70 and 897.32 is: 1,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.80 : 2,734.70 = 897.32 : x
  2. Step 2: Convert to fraction form
    1,823.80/2,734.70 = 897.32/x
  3. Step 3: Cross multiply
    1,823.80x = 2,734.70 × 897.32
  4. Step 4: Simplify right side
    1,823.80x = 2,453,901.00
  5. Step 5: Solve for x
    x = 2,453,901.00/1,823.80
  6. Step 6: Final answer
    x = 1,345.49

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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.