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Finding the Fourth Proportional to 2,357.34, 3,534.64 and 896.60

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Solution

The fourth proportional to 2,357.34, 3,534.64 and 896.60 is: 1,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.34 : 3,534.64 = 896.60 : x
  2. Step 2: Convert to fraction form
    2,357.34/3,534.64 = 896.60/x
  3. Step 3: Cross multiply
    2,357.34x = 3,534.64 × 896.60
  4. Step 4: Simplify right side
    2,357.34x = 3,169,158.22
  5. Step 5: Solve for x
    x = 3,169,158.22/2,357.34
  6. Step 6: Final answer
    x = 1,344.38

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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.