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Finding the Fourth Proportional to 2,347.32, 3,520.98 and 1,699.32

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Solution

The fourth proportional to 2,347.32, 3,520.98 and 1,699.32 is: 2,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.32 : 3,520.98 = 1,699.32 : x
  2. Step 2: Convert to fraction form
    2,347.32/3,520.98 = 1,699.32/x
  3. Step 3: Cross multiply
    2,347.32x = 3,520.98 × 1,699.32
  4. Step 4: Simplify right side
    2,347.32x = 5,983,271.73
  5. Step 5: Solve for x
    x = 5,983,271.73/2,347.32
  6. Step 6: Final answer
    x = 2,548.98

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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.