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Finding the Fourth Proportional to 1,595.88, 2,393.82 and 729.72

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Solution

The fourth proportional to 1,595.88, 2,393.82 and 729.72 is: 1,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.88 : 2,393.82 = 729.72 : x
  2. Step 2: Convert to fraction form
    1,595.88/2,393.82 = 729.72/x
  3. Step 3: Cross multiply
    1,595.88x = 2,393.82 × 729.72
  4. Step 4: Simplify right side
    1,595.88x = 1,746,818.33
  5. Step 5: Solve for x
    x = 1,746,818.33/1,595.88
  6. Step 6: Final answer
    x = 1,094.58

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