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Finding the Fourth Proportional to 2,427.40, 3,632.10 and 1,779.40

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Solution

The fourth proportional to 2,427.40, 3,632.10 and 1,779.40 is: 2,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.40 : 3,632.10 = 1,779.40 : x
  2. Step 2: Convert to fraction form
    2,427.40/3,632.10 = 1,779.40/x
  3. Step 3: Cross multiply
    2,427.40x = 3,632.10 × 1,779.40
  4. Step 4: Simplify right side
    2,427.40x = 6,462,958.74
  5. Step 5: Solve for x
    x = 6,462,958.74/2,427.40
  6. Step 6: Final answer
    x = 2,662.50

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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.