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Finding the Fourth Proportional to 3,102.99, 4,646.18 and 2,610.92

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Solution

The fourth proportional to 3,102.99, 4,646.18 and 2,610.92 is: 3,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.99 : 4,646.18 = 2,610.92 : x
  2. Step 2: Convert to fraction form
    3,102.99/4,646.18 = 2,610.92/x
  3. Step 3: Cross multiply
    3,102.99x = 4,646.18 × 2,610.92
  4. Step 4: Simplify right side
    3,102.99x = 12,130,804.29
  5. Step 5: Solve for x
    x = 12,130,804.29/3,102.99
  6. Step 6: Final answer
    x = 3,909.39

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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.