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Finding the Fourth Proportional to 1,589.83, 2,386.14 and 1,300.66

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Solution

The fourth proportional to 1,589.83, 2,386.14 and 1,300.66 is: 1,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.83 : 2,386.14 = 1,300.66 : x
  2. Step 2: Convert to fraction form
    1,589.83/2,386.14 = 1,300.66/x
  3. Step 3: Cross multiply
    1,589.83x = 2,386.14 × 1,300.66
  4. Step 4: Simplify right side
    1,589.83x = 3,103,556.85
  5. Step 5: Solve for x
    x = 3,103,556.85/1,589.83
  6. Step 6: Final answer
    x = 1,952.13

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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.