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Finding the Fourth Proportional to 3,409.50, 4,703.00 and 2,345.43

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Solution

The fourth proportional to 3,409.50, 4,703.00 and 2,345.43 is: 3,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.50 : 4,703.00 = 2,345.43 : x
  2. Step 2: Convert to fraction form
    3,409.50/4,703.00 = 2,345.43/x
  3. Step 3: Cross multiply
    3,409.50x = 4,703.00 × 2,345.43
  4. Step 4: Simplify right side
    3,409.50x = 11,030,563.20
  5. Step 5: Solve for x
    x = 11,030,563.20/3,409.50
  6. Step 6: Final answer
    x = 3,235.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.