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Finding the Fourth Proportional to 1,576.93, 2,176.08 and 913.75

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Solution

The fourth proportional to 1,576.93, 2,176.08 and 913.75 is: 1,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.93 : 2,176.08 = 913.75 : x
  2. Step 2: Convert to fraction form
    1,576.93/2,176.08 = 913.75/x
  3. Step 3: Cross multiply
    1,576.93x = 2,176.08 × 913.75
  4. Step 4: Simplify right side
    1,576.93x = 1,988,393.10
  5. Step 5: Solve for x
    x = 1,988,393.10/1,576.93
  6. Step 6: Final answer
    x = 1,260.93

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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.