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Finding the Fourth Proportional to 1,534.44, 2,300.28 and 986.76

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Solution

The fourth proportional to 1,534.44, 2,300.28 and 986.76 is: 1,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.44 : 2,300.28 = 986.76 : x
  2. Step 2: Convert to fraction form
    1,534.44/2,300.28 = 986.76/x
  3. Step 3: Cross multiply
    1,534.44x = 2,300.28 × 986.76
  4. Step 4: Simplify right side
    1,534.44x = 2,269,824.29
  5. Step 5: Solve for x
    x = 2,269,824.29/1,534.44
  6. Step 6: Final answer
    x = 1,479.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.