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Finding the Fourth Proportional to 1,347.86, 2,020.76 and 1,210.49

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Solution

The fourth proportional to 1,347.86, 2,020.76 and 1,210.49 is: 1,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.86 : 2,020.76 = 1,210.49 : x
  2. Step 2: Convert to fraction form
    1,347.86/2,020.76 = 1,210.49/x
  3. Step 3: Cross multiply
    1,347.86x = 2,020.76 × 1,210.49
  4. Step 4: Simplify right side
    1,347.86x = 2,446,093.62
  5. Step 5: Solve for x
    x = 2,446,093.62/1,347.86
  6. Step 6: Final answer
    x = 1,814.80

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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.