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Finding the Fourth Proportional to 2,357.40, 3,253.21 and 1,309.46

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Solution

The fourth proportional to 2,357.40, 3,253.21 and 1,309.46 is: 1,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.40 : 3,253.21 = 1,309.46 : x
  2. Step 2: Convert to fraction form
    2,357.40/3,253.21 = 1,309.46/x
  3. Step 3: Cross multiply
    2,357.40x = 3,253.21 × 1,309.46
  4. Step 4: Simplify right side
    2,357.40x = 4,259,948.37
  5. Step 5: Solve for x
    x = 4,259,948.37/2,357.40
  6. Step 6: Final answer
    x = 1,807.05

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Why These Related Problems?

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