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Finding the Fourth Proportional to 1,946.51, 2,920.21 and 559.86

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Solution

The fourth proportional to 1,946.51, 2,920.21 and 559.86 is: 839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.51 : 2,920.21 = 559.86 : x
  2. Step 2: Convert to fraction form
    1,946.51/2,920.21 = 559.86/x
  3. Step 3: Cross multiply
    1,946.51x = 2,920.21 × 559.86
  4. Step 4: Simplify right side
    1,946.51x = 1,634,896.42
  5. Step 5: Solve for x
    x = 1,634,896.42/1,946.51
  6. Step 6: Final answer
    x = 839.91

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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.