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Finding the Fourth Proportional to 2,259.05, 3,119.41 and 1,421.15

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Solution

The fourth proportional to 2,259.05, 3,119.41 and 1,421.15 is: 1,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.05 : 3,119.41 = 1,421.15 : x
  2. Step 2: Convert to fraction form
    2,259.05/3,119.41 = 1,421.15/x
  3. Step 3: Cross multiply
    2,259.05x = 3,119.41 × 1,421.15
  4. Step 4: Simplify right side
    2,259.05x = 4,433,155.54
  5. Step 5: Solve for x
    x = 4,433,155.54/2,259.05
  6. Step 6: Final answer
    x = 1,962.40

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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.