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Finding the Fourth Proportional to 1,536.48, 2,119.44 and 946.80

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Solution

The fourth proportional to 1,536.48, 2,119.44 and 946.80 is: 1,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.48 : 2,119.44 = 946.80 : x
  2. Step 2: Convert to fraction form
    1,536.48/2,119.44 = 946.80/x
  3. Step 3: Cross multiply
    1,536.48x = 2,119.44 × 946.80
  4. Step 4: Simplify right side
    1,536.48x = 2,006,685.79
  5. Step 5: Solve for x
    x = 2,006,685.79/1,536.48
  6. Step 6: Final answer
    x = 1,306.03

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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.