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Finding the Fourth Proportional to 1,646.64, 2,273.16 and 1,125.40

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Solution

The fourth proportional to 1,646.64, 2,273.16 and 1,125.40 is: 1,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.64 : 2,273.16 = 1,125.40 : x
  2. Step 2: Convert to fraction form
    1,646.64/2,273.16 = 1,125.40/x
  3. Step 3: Cross multiply
    1,646.64x = 2,273.16 × 1,125.40
  4. Step 4: Simplify right side
    1,646.64x = 2,558,214.26
  5. Step 5: Solve for x
    x = 2,558,214.26/1,646.64
  6. Step 6: Final answer
    x = 1,553.60

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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.