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Finding the Fourth Proportional to 2,357.88, 3,253.94 and 1,310.01

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Solution

The fourth proportional to 2,357.88, 3,253.94 and 1,310.01 is: 1,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.88 : 3,253.94 = 1,310.01 : x
  2. Step 2: Convert to fraction form
    2,357.88/3,253.94 = 1,310.01/x
  3. Step 3: Cross multiply
    2,357.88x = 3,253.94 × 1,310.01
  4. Step 4: Simplify right side
    2,357.88x = 4,262,693.94
  5. Step 5: Solve for x
    x = 4,262,693.94/2,357.88
  6. Step 6: Final answer
    x = 1,807.85

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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.