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Finding the Fourth Proportional to 2,639, 3,641.82 and 1,460.07

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Solution

The fourth proportional to 2,639, 3,641.82 and 1,460.07 is: 2,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639 : 3,641.82 = 1,460.07 : x
  2. Step 2: Convert to fraction form
    2,639/3,641.82 = 1,460.07/x
  3. Step 3: Cross multiply
    2,639x = 3,641.82 × 1,460.07
  4. Step 4: Simplify right side
    2,639x = 5,317,312.13
  5. Step 5: Solve for x
    x = 5,317,312.13/2,639
  6. Step 6: Final answer
    x = 2,014.90

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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.