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Finding the Fourth Proportional to 2,342.45, 3,514.37 and 881.72

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Solution

The fourth proportional to 2,342.45, 3,514.37 and 881.72 is: 1,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.45 : 3,514.37 = 881.72 : x
  2. Step 2: Convert to fraction form
    2,342.45/3,514.37 = 881.72/x
  3. Step 3: Cross multiply
    2,342.45x = 3,514.37 × 881.72
  4. Step 4: Simplify right side
    2,342.45x = 3,098,681.51
  5. Step 5: Solve for x
    x = 3,098,681.51/2,342.45
  6. Step 6: Final answer
    x = 1,322.84

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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.