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Finding the Fourth Proportional to 1,672.04, 2,312.15 and 1,645.62

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Solution

The fourth proportional to 1,672.04, 2,312.15 and 1,645.62 is: 2,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.04 : 2,312.15 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    1,672.04/2,312.15 = 1,645.62/x
  3. Step 3: Cross multiply
    1,672.04x = 2,312.15 × 1,645.62
  4. Step 4: Simplify right side
    1,672.04x = 3,804,903.38
  5. Step 5: Solve for x
    x = 3,804,903.38/1,672.04
  6. Step 6: Final answer
    x = 2,275.60

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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.