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Finding the Fourth Proportional to 2,357.55, 3,534.50 and 1,368.85

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Solution

The fourth proportional to 2,357.55, 3,534.50 and 1,368.85 is: 2,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.55 : 3,534.50 = 1,368.85 : x
  2. Step 2: Convert to fraction form
    2,357.55/3,534.50 = 1,368.85/x
  3. Step 3: Cross multiply
    2,357.55x = 3,534.50 × 1,368.85
  4. Step 4: Simplify right side
    2,357.55x = 4,838,200.33
  5. Step 5: Solve for x
    x = 4,838,200.33/2,357.55
  6. Step 6: Final answer
    x = 2,052.22

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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.