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Finding the Fourth Proportional to 1,970.13, 2,701.17 and 1,935.03

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Solution

The fourth proportional to 1,970.13, 2,701.17 and 1,935.03 is: 2,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.13 : 2,701.17 = 1,935.03 : x
  2. Step 2: Convert to fraction form
    1,970.13/2,701.17 = 1,935.03/x
  3. Step 3: Cross multiply
    1,970.13x = 2,701.17 × 1,935.03
  4. Step 4: Simplify right side
    1,970.13x = 5,226,835.31
  5. Step 5: Solve for x
    x = 5,226,835.31/1,970.13
  6. Step 6: Final answer
    x = 2,653.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.