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Finding the Fourth Proportional to 2,641.47, 3,645.29 and 1,462.62

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Solution

The fourth proportional to 2,641.47, 3,645.29 and 1,462.62 is: 2,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.47 : 3,645.29 = 1,462.62 : x
  2. Step 2: Convert to fraction form
    2,641.47/3,645.29 = 1,462.62/x
  3. Step 3: Cross multiply
    2,641.47x = 3,645.29 × 1,462.62
  4. Step 4: Simplify right side
    2,641.47x = 5,331,666.75
  5. Step 5: Solve for x
    x = 5,331,666.75/2,641.47
  6. Step 6: Final answer
    x = 2,018.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.