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Finding the Fourth Proportional to 1,675.14, 2,509.02 and 1,641.90

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Solution

The fourth proportional to 1,675.14, 2,509.02 and 1,641.90 is: 2,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.14 : 2,509.02 = 1,641.90 : x
  2. Step 2: Convert to fraction form
    1,675.14/2,509.02 = 1,641.90/x
  3. Step 3: Cross multiply
    1,675.14x = 2,509.02 × 1,641.90
  4. Step 4: Simplify right side
    1,675.14x = 4,119,559.94
  5. Step 5: Solve for x
    x = 4,119,559.94/1,675.14
  6. Step 6: Final answer
    x = 2,459.23

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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.