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Finding the Fourth Proportional to 2,335.14, 3,503.67 and 1,164.30

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Solution

The fourth proportional to 2,335.14, 3,503.67 and 1,164.30 is: 1,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.14 : 3,503.67 = 1,164.30 : x
  2. Step 2: Convert to fraction form
    2,335.14/3,503.67 = 1,164.30/x
  3. Step 3: Cross multiply
    2,335.14x = 3,503.67 × 1,164.30
  4. Step 4: Simplify right side
    2,335.14x = 4,079,322.98
  5. Step 5: Solve for x
    x = 4,079,322.98/2,335.14
  6. Step 6: Final answer
    x = 1,746.93

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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.