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Finding the Fourth Proportional to 1,590.66, 2,395.33 and 1,387.67

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Solution

The fourth proportional to 1,590.66, 2,395.33 and 1,387.67 is: 2,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.66 : 2,395.33 = 1,387.67 : x
  2. Step 2: Convert to fraction form
    1,590.66/2,395.33 = 1,387.67/x
  3. Step 3: Cross multiply
    1,590.66x = 2,395.33 × 1,387.67
  4. Step 4: Simplify right side
    1,590.66x = 3,323,912.14
  5. Step 5: Solve for x
    x = 3,323,912.14/1,590.66
  6. Step 6: Final answer
    x = 2,089.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.