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Finding the Fourth Proportional to 1,830.80, 2,746.20 and 1,393.40

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Solution

The fourth proportional to 1,830.80, 2,746.20 and 1,393.40 is: 2,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.80 : 2,746.20 = 1,393.40 : x
  2. Step 2: Convert to fraction form
    1,830.80/2,746.20 = 1,393.40/x
  3. Step 3: Cross multiply
    1,830.80x = 2,746.20 × 1,393.40
  4. Step 4: Simplify right side
    1,830.80x = 3,826,555.08
  5. Step 5: Solve for x
    x = 3,826,555.08/1,830.80
  6. Step 6: Final answer
    x = 2,090.10

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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.