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Finding the Fourth Proportional to 1,646.46, 2,465.91 and 1,051.92

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Solution

The fourth proportional to 1,646.46, 2,465.91 and 1,051.92 is: 1,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.46 : 2,465.91 = 1,051.92 : x
  2. Step 2: Convert to fraction form
    1,646.46/2,465.91 = 1,051.92/x
  3. Step 3: Cross multiply
    1,646.46x = 2,465.91 × 1,051.92
  4. Step 4: Simplify right side
    1,646.46x = 2,593,940.05
  5. Step 5: Solve for x
    x = 2,593,940.05/1,646.46
  6. Step 6: Final answer
    x = 1,575.46

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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.