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Finding the Fourth Proportional to 2,342.48, 3,514.94 and 1,043.65

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Solution

The fourth proportional to 2,342.48, 3,514.94 and 1,043.65 is: 1,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.48 : 3,514.94 = 1,043.65 : x
  2. Step 2: Convert to fraction form
    2,342.48/3,514.94 = 1,043.65/x
  3. Step 3: Cross multiply
    2,342.48x = 3,514.94 × 1,043.65
  4. Step 4: Simplify right side
    2,342.48x = 3,668,344.34
  5. Step 5: Solve for x
    x = 3,668,344.34/2,342.48
  6. Step 6: Final answer
    x = 1,566.01

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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.