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Finding the Fourth Proportional to 1,086.41, 1,615.63 and 1,051.80

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Solution

The fourth proportional to 1,086.41, 1,615.63 and 1,051.80 is: 1,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.41 : 1,615.63 = 1,051.80 : x
  2. Step 2: Convert to fraction form
    1,086.41/1,615.63 = 1,051.80/x
  3. Step 3: Cross multiply
    1,086.41x = 1,615.63 × 1,051.80
  4. Step 4: Simplify right side
    1,086.41x = 1,699,327.01
  5. Step 5: Solve for x
    x = 1,699,327.01/1,086.41
  6. Step 6: Final answer
    x = 1,564.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.