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Finding the Fourth Proportional to 2,357.68, 3,253.54 and 1,309.75

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Solution

The fourth proportional to 2,357.68, 3,253.54 and 1,309.75 is: 1,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.68 : 3,253.54 = 1,309.75 : x
  2. Step 2: Convert to fraction form
    2,357.68/3,253.54 = 1,309.75/x
  3. Step 3: Cross multiply
    2,357.68x = 3,253.54 × 1,309.75
  4. Step 4: Simplify right side
    2,357.68x = 4,261,307.75
  5. Step 5: Solve for x
    x = 4,261,307.75/2,357.68
  6. Step 6: Final answer
    x = 1,807.42

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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.