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Finding the Fourth Proportional to 2,342.93, 3,514.39 and 1,590.84

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Solution

The fourth proportional to 2,342.93, 3,514.39 and 1,590.84 is: 2,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.93 : 3,514.39 = 1,590.84 : x
  2. Step 2: Convert to fraction form
    2,342.93/3,514.39 = 1,590.84/x
  3. Step 3: Cross multiply
    2,342.93x = 3,514.39 × 1,590.84
  4. Step 4: Simplify right side
    2,342.93x = 5,590,828.21
  5. Step 5: Solve for x
    x = 5,590,828.21/2,342.93
  6. Step 6: Final answer
    x = 2,386.26

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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.