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Finding the Fourth Proportional to 1,918.60, 2,646.98 and 1,172.32

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Solution

The fourth proportional to 1,918.60, 2,646.98 and 1,172.32 is: 1,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.60 : 2,646.98 = 1,172.32 : x
  2. Step 2: Convert to fraction form
    1,918.60/2,646.98 = 1,172.32/x
  3. Step 3: Cross multiply
    1,918.60x = 2,646.98 × 1,172.32
  4. Step 4: Simplify right side
    1,918.60x = 3,103,107.59
  5. Step 5: Solve for x
    x = 3,103,107.59/1,918.60
  6. Step 6: Final answer
    x = 1,617.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.