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Finding the Fourth Proportional to 1,584.88, 2,375.64 and 597.26

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Solution

The fourth proportional to 1,584.88, 2,375.64 and 597.26 is: 895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.88 : 2,375.64 = 597.26 : x
  2. Step 2: Convert to fraction form
    1,584.88/2,375.64 = 597.26/x
  3. Step 3: Cross multiply
    1,584.88x = 2,375.64 × 597.26
  4. Step 4: Simplify right side
    1,584.88x = 1,418,871.76
  5. Step 5: Solve for x
    x = 1,418,871.76/1,584.88
  6. Step 6: Final answer
    x = 895.26

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Why These Related Problems?

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