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Finding the Fourth Proportional to 1,576.51, 2,175.36 and 913.12

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Solution

The fourth proportional to 1,576.51, 2,175.36 and 913.12 is: 1,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.51 : 2,175.36 = 913.12 : x
  2. Step 2: Convert to fraction form
    1,576.51/2,175.36 = 913.12/x
  3. Step 3: Cross multiply
    1,576.51x = 2,175.36 × 913.12
  4. Step 4: Simplify right side
    1,576.51x = 1,986,364.72
  5. Step 5: Solve for x
    x = 1,986,364.72/1,576.51
  6. Step 6: Final answer
    x = 1,259.98

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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.