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Finding the Fourth Proportional to 2,342.59, 3,514.60 and 1,406.58

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Solution

The fourth proportional to 2,342.59, 3,514.60 and 1,406.58 is: 2,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.59 : 3,514.60 = 1,406.58 : x
  2. Step 2: Convert to fraction form
    2,342.59/3,514.60 = 1,406.58/x
  3. Step 3: Cross multiply
    2,342.59x = 3,514.60 × 1,406.58
  4. Step 4: Simplify right side
    2,342.59x = 4,943,566.07
  5. Step 5: Solve for x
    x = 4,943,566.07/2,342.59
  6. Step 6: Final answer
    x = 2,110.30

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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.