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Finding the Fourth Proportional to 2,107.13, 3,160.70 and 646.51

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Solution

The fourth proportional to 2,107.13, 3,160.70 and 646.51 is: 969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.13 : 3,160.70 = 646.51 : x
  2. Step 2: Convert to fraction form
    2,107.13/3,160.70 = 646.51/x
  3. Step 3: Cross multiply
    2,107.13x = 3,160.70 × 646.51
  4. Step 4: Simplify right side
    2,107.13x = 2,043,424.16
  5. Step 5: Solve for x
    x = 2,043,424.16/2,107.13
  6. Step 6: Final answer
    x = 969.77

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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.