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Finding the Fourth Proportional to 2,342.61, 3,518.93 and 1,418.60

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Solution

The fourth proportional to 2,342.61, 3,518.93 and 1,418.60 is: 2,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.61 : 3,518.93 = 1,418.60 : x
  2. Step 2: Convert to fraction form
    2,342.61/3,518.93 = 1,418.60/x
  3. Step 3: Cross multiply
    2,342.61x = 3,518.93 × 1,418.60
  4. Step 4: Simplify right side
    2,342.61x = 4,991,954.10
  5. Step 5: Solve for x
    x = 4,991,954.10/2,342.61
  6. Step 6: Final answer
    x = 2,130.94

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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.