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Finding the Fourth Proportional to 1,588.13, 2,191.71 and 880.06

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Solution

The fourth proportional to 1,588.13, 2,191.71 and 880.06 is: 1,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.13 : 2,191.71 = 880.06 : x
  2. Step 2: Convert to fraction form
    1,588.13/2,191.71 = 880.06/x
  3. Step 3: Cross multiply
    1,588.13x = 2,191.71 × 880.06
  4. Step 4: Simplify right side
    1,588.13x = 1,928,836.30
  5. Step 5: Solve for x
    x = 1,928,836.30/1,588.13
  6. Step 6: Final answer
    x = 1,214.53

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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.