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Finding the Fourth Proportional to 1,418.86, 2,128.58 and 596.65

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Solution

The fourth proportional to 1,418.86, 2,128.58 and 596.65 is: 895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.86 : 2,128.58 = 596.65 : x
  2. Step 2: Convert to fraction form
    1,418.86/2,128.58 = 596.65/x
  3. Step 3: Cross multiply
    1,418.86x = 2,128.58 × 596.65
  4. Step 4: Simplify right side
    1,418.86x = 1,270,017.26
  5. Step 5: Solve for x
    x = 1,270,017.26/1,418.86
  6. Step 6: Final answer
    x = 895.10

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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.