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Finding the Fourth Proportional to 1,641.81, 2,465.15 and 1,562.52

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Solution

The fourth proportional to 1,641.81, 2,465.15 and 1,562.52 is: 2,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.81 : 2,465.15 = 1,562.52 : x
  2. Step 2: Convert to fraction form
    1,641.81/2,465.15 = 1,562.52/x
  3. Step 3: Cross multiply
    1,641.81x = 2,465.15 × 1,562.52
  4. Step 4: Simplify right side
    1,641.81x = 3,851,838.37
  5. Step 5: Solve for x
    x = 3,851,838.37/1,641.81
  6. Step 6: Final answer
    x = 2,346.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.