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Finding the Fourth Proportional to 2,357.52, 3,538.02 and 878.10

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Solution

The fourth proportional to 2,357.52, 3,538.02 and 878.10 is: 1,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.52 : 3,538.02 = 878.10 : x
  2. Step 2: Convert to fraction form
    2,357.52/3,538.02 = 878.10/x
  3. Step 3: Cross multiply
    2,357.52x = 3,538.02 × 878.10
  4. Step 4: Simplify right side
    2,357.52x = 3,106,735.36
  5. Step 5: Solve for x
    x = 3,106,735.36/2,357.52
  6. Step 6: Final answer
    x = 1,317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.