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Finding the Fourth Proportional to 2,775.06, 3,830.90 and 1,595.90

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Solution

The fourth proportional to 2,775.06, 3,830.90 and 1,595.90 is: 2,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.06 : 3,830.90 = 1,595.90 : x
  2. Step 2: Convert to fraction form
    2,775.06/3,830.90 = 1,595.90/x
  3. Step 3: Cross multiply
    2,775.06x = 3,830.90 × 1,595.90
  4. Step 4: Simplify right side
    2,775.06x = 6,113,734.91
  5. Step 5: Solve for x
    x = 6,113,734.91/2,775.06
  6. Step 6: Final answer
    x = 2,203.10

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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.