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Finding the Fourth Proportional to 2,335.64, 3,500.42 and 947.35

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Solution

The fourth proportional to 2,335.64, 3,500.42 and 947.35 is: 1,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.64 : 3,500.42 = 947.35 : x
  2. Step 2: Convert to fraction form
    2,335.64/3,500.42 = 947.35/x
  3. Step 3: Cross multiply
    2,335.64x = 3,500.42 × 947.35
  4. Step 4: Simplify right side
    2,335.64x = 3,316,122.89
  5. Step 5: Solve for x
    x = 3,316,122.89/2,335.64
  6. Step 6: Final answer
    x = 1,419.79

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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.