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Finding the Fourth Proportional to 2,854.02, 3,938.50 and 1,595

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Solution

The fourth proportional to 2,854.02, 3,938.50 and 1,595 is: 2,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.02 : 3,938.50 = 1,595 : x
  2. Step 2: Convert to fraction form
    2,854.02/3,938.50 = 1,595/x
  3. Step 3: Cross multiply
    2,854.02x = 3,938.50 × 1,595
  4. Step 4: Simplify right side
    2,854.02x = 6,281,907.50
  5. Step 5: Solve for x
    x = 6,281,907.50/2,854.02
  6. Step 6: Final answer
    x = 2,201.07

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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.