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Finding the Fourth Proportional to 2,357.85, 3,253.80 and 1,295.66

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Solution

The fourth proportional to 2,357.85, 3,253.80 and 1,295.66 is: 1,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.85 : 3,253.80 = 1,295.66 : x
  2. Step 2: Convert to fraction form
    2,357.85/3,253.80 = 1,295.66/x
  3. Step 3: Cross multiply
    2,357.85x = 3,253.80 × 1,295.66
  4. Step 4: Simplify right side
    2,357.85x = 4,215,818.51
  5. Step 5: Solve for x
    x = 4,215,818.51/2,357.85
  6. Step 6: Final answer
    x = 1,787.99

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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.