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Finding the Fourth Proportional to 1,945.39, 2,918.13 and 646.96

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Solution

The fourth proportional to 1,945.39, 2,918.13 and 646.96 is: 970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.39 : 2,918.13 = 646.96 : x
  2. Step 2: Convert to fraction form
    1,945.39/2,918.13 = 646.96/x
  3. Step 3: Cross multiply
    1,945.39x = 2,918.13 × 646.96
  4. Step 4: Simplify right side
    1,945.39x = 1,887,913.38
  5. Step 5: Solve for x
    x = 1,887,913.38/1,945.39
  6. Step 6: Final answer
    x = 970.45

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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.