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Finding the Fourth Proportional to 2,357.83, 3,253.89 and 1,295.70

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Solution

The fourth proportional to 2,357.83, 3,253.89 and 1,295.70 is: 1,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.83 : 3,253.89 = 1,295.70 : x
  2. Step 2: Convert to fraction form
    2,357.83/3,253.89 = 1,295.70/x
  3. Step 3: Cross multiply
    2,357.83x = 3,253.89 × 1,295.70
  4. Step 4: Simplify right side
    2,357.83x = 4,216,065.27
  5. Step 5: Solve for x
    x = 4,216,065.27/2,357.83
  6. Step 6: Final answer
    x = 1,788.11

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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.