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Finding the Fourth Proportional to 1,588.77, 2,191.05 and 990.50

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Solution

The fourth proportional to 1,588.77, 2,191.05 and 990.50 is: 1,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.77 : 2,191.05 = 990.50 : x
  2. Step 2: Convert to fraction form
    1,588.77/2,191.05 = 990.50/x
  3. Step 3: Cross multiply
    1,588.77x = 2,191.05 × 990.50
  4. Step 4: Simplify right side
    1,588.77x = 2,170,224.07
  5. Step 5: Solve for x
    x = 2,170,224.07/1,588.77
  6. Step 6: Final answer
    x = 1,365.98

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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.