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Finding the Fourth Proportional to 2,357.46, 3,253.41 and 1,309.50

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Solution

The fourth proportional to 2,357.46, 3,253.41 and 1,309.50 is: 1,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.46 : 3,253.41 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    2,357.46/3,253.41 = 1,309.50/x
  3. Step 3: Cross multiply
    2,357.46x = 3,253.41 × 1,309.50
  4. Step 4: Simplify right side
    2,357.46x = 4,260,340.40
  5. Step 5: Solve for x
    x = 4,260,340.40/2,357.46
  6. Step 6: Final answer
    x = 1,807.17

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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.