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Finding the Fourth Proportional to 1,771.80, 2,444.70 and 1,328.70

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Solution

The fourth proportional to 1,771.80, 2,444.70 and 1,328.70 is: 1,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.80 : 2,444.70 = 1,328.70 : x
  2. Step 2: Convert to fraction form
    1,771.80/2,444.70 = 1,328.70/x
  3. Step 3: Cross multiply
    1,771.80x = 2,444.70 × 1,328.70
  4. Step 4: Simplify right side
    1,771.80x = 3,248,272.89
  5. Step 5: Solve for x
    x = 3,248,272.89/1,771.80
  6. Step 6: Final answer
    x = 1,833.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.