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Finding the Fourth Proportional to 1,576.29, 2,174.95 and 913.10

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Solution

The fourth proportional to 1,576.29, 2,174.95 and 913.10 is: 1,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.29 : 2,174.95 = 913.10 : x
  2. Step 2: Convert to fraction form
    1,576.29/2,174.95 = 913.10/x
  3. Step 3: Cross multiply
    1,576.29x = 2,174.95 × 913.10
  4. Step 4: Simplify right side
    1,576.29x = 1,985,942.28
  5. Step 5: Solve for x
    x = 1,985,942.28/1,576.29
  6. Step 6: Final answer
    x = 1,259.89

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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.