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Finding the Fourth Proportional to 1,597.76, 2,207.76 and 1,532.96

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Solution

The fourth proportional to 1,597.76, 2,207.76 and 1,532.96 is: 2,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.76 : 2,207.76 = 1,532.96 : x
  2. Step 2: Convert to fraction form
    1,597.76/2,207.76 = 1,532.96/x
  3. Step 3: Cross multiply
    1,597.76x = 2,207.76 × 1,532.96
  4. Step 4: Simplify right side
    1,597.76x = 3,384,407.77
  5. Step 5: Solve for x
    x = 3,384,407.77/1,597.76
  6. Step 6: Final answer
    x = 2,118.22

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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.