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Finding the Fourth Proportional to 2,357.16, 3,534.69 and 969.36

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Solution

The fourth proportional to 2,357.16, 3,534.69 and 969.36 is: 1,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.16 : 3,534.69 = 969.36 : x
  2. Step 2: Convert to fraction form
    2,357.16/3,534.69 = 969.36/x
  3. Step 3: Cross multiply
    2,357.16x = 3,534.69 × 969.36
  4. Step 4: Simplify right side
    2,357.16x = 3,426,387.10
  5. Step 5: Solve for x
    x = 3,426,387.10/2,357.16
  6. Step 6: Final answer
    x = 1,453.61

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