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Finding the Fourth Proportional to 1,946.13, 2,678.84 and 1,697.00

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Solution

The fourth proportional to 1,946.13, 2,678.84 and 1,697.00 is: 2,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.13 : 2,678.84 = 1,697.00 : x
  2. Step 2: Convert to fraction form
    1,946.13/2,678.84 = 1,697.00/x
  3. Step 3: Cross multiply
    1,946.13x = 2,678.84 × 1,697.00
  4. Step 4: Simplify right side
    1,946.13x = 4,545,991.03
  5. Step 5: Solve for x
    x = 4,545,991.03/1,946.13
  6. Step 6: Final answer
    x = 2,335.92

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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.