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Finding the Fourth Proportional to 3,303.70, 4,952.46 and 1,658.32

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Solution

The fourth proportional to 3,303.70, 4,952.46 and 1,658.32 is: 2,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.70 : 4,952.46 = 1,658.32 : x
  2. Step 2: Convert to fraction form
    3,303.70/4,952.46 = 1,658.32/x
  3. Step 3: Cross multiply
    3,303.70x = 4,952.46 × 1,658.32
  4. Step 4: Simplify right side
    3,303.70x = 8,212,763.47
  5. Step 5: Solve for x
    x = 8,212,763.47/3,303.70
  6. Step 6: Final answer
    x = 2,485.93

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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.