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Finding the Fourth Proportional to 1,588.72, 2,191.80 and 959.08

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Solution

The fourth proportional to 1,588.72, 2,191.80 and 959.08 is: 1,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.72 : 2,191.80 = 959.08 : x
  2. Step 2: Convert to fraction form
    1,588.72/2,191.80 = 959.08/x
  3. Step 3: Cross multiply
    1,588.72x = 2,191.80 × 959.08
  4. Step 4: Simplify right side
    1,588.72x = 2,102,111.54
  5. Step 5: Solve for x
    x = 2,102,111.54/1,588.72
  6. Step 6: Final answer
    x = 1,323.15

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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.