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Finding the Fourth Proportional to 2,357.29, 3,253.05 and 1,295.06

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Solution

The fourth proportional to 2,357.29, 3,253.05 and 1,295.06 is: 1,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.29 : 3,253.05 = 1,295.06 : x
  2. Step 2: Convert to fraction form
    2,357.29/3,253.05 = 1,295.06/x
  3. Step 3: Cross multiply
    2,357.29x = 3,253.05 × 1,295.06
  4. Step 4: Simplify right side
    2,357.29x = 4,212,883.71
  5. Step 5: Solve for x
    x = 4,212,883.71/2,357.29
  6. Step 6: Final answer
    x = 1,787.17

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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.