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Finding the Fourth Proportional to 1,576.40, 2,175.72 and 1,527.76

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Solution

The fourth proportional to 1,576.40, 2,175.72 and 1,527.76 is: 2,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.40 : 2,175.72 = 1,527.76 : x
  2. Step 2: Convert to fraction form
    1,576.40/2,175.72 = 1,527.76/x
  3. Step 3: Cross multiply
    1,576.40x = 2,175.72 × 1,527.76
  4. Step 4: Simplify right side
    1,576.40x = 3,323,977.99
  5. Step 5: Solve for x
    x = 3,323,977.99/1,576.40
  6. Step 6: Final answer
    x = 2,108.59

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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.