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Finding the Fourth Proportional to 1,868.06, 2,803.46 and 894.84

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Solution

The fourth proportional to 1,868.06, 2,803.46 and 894.84 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.06 : 2,803.46 = 894.84 : x
  2. Step 2: Convert to fraction form
    1,868.06/2,803.46 = 894.84/x
  3. Step 3: Cross multiply
    1,868.06x = 2,803.46 × 894.84
  4. Step 4: Simplify right side
    1,868.06x = 2,508,643.67
  5. Step 5: Solve for x
    x = 2,508,643.67/1,868.06
  6. Step 6: Final answer
    x = 1,342.92

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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.