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Finding the Fourth Proportional to 1,595.16, 2,391.93 and 729

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Solution

The fourth proportional to 1,595.16, 2,391.93 and 729 is: 1,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.16 : 2,391.93 = 729 : x
  2. Step 2: Convert to fraction form
    1,595.16/2,391.93 = 729/x
  3. Step 3: Cross multiply
    1,595.16x = 2,391.93 × 729
  4. Step 4: Simplify right side
    1,595.16x = 1,743,716.97
  5. Step 5: Solve for x
    x = 1,743,716.97/1,595.16
  6. Step 6: Final answer
    x = 1,093.13

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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.