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Finding the Fourth Proportional to 1,646.45, 2,272.11 and 1,056.99

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Solution

The fourth proportional to 1,646.45, 2,272.11 and 1,056.99 is: 1,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.45 : 2,272.11 = 1,056.99 : x
  2. Step 2: Convert to fraction form
    1,646.45/2,272.11 = 1,056.99/x
  3. Step 3: Cross multiply
    1,646.45x = 2,272.11 × 1,056.99
  4. Step 4: Simplify right side
    1,646.45x = 2,401,597.55
  5. Step 5: Solve for x
    x = 2,401,597.55/1,646.45
  6. Step 6: Final answer
    x = 1,458.65

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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.