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Finding the Fourth Proportional to 1,646.40, 2,465.65 and 1,200.47

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Solution

The fourth proportional to 1,646.40, 2,465.65 and 1,200.47 is: 1,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.40 : 2,465.65 = 1,200.47 : x
  2. Step 2: Convert to fraction form
    1,646.40/2,465.65 = 1,200.47/x
  3. Step 3: Cross multiply
    1,646.40x = 2,465.65 × 1,200.47
  4. Step 4: Simplify right side
    1,646.40x = 2,959,938.86
  5. Step 5: Solve for x
    x = 2,959,938.86/1,646.40
  6. Step 6: Final answer
    x = 1,797.82

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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.