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Finding the Fourth Proportional to 2,333.25, 3,497.58 and 945.72

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Solution

The fourth proportional to 2,333.25, 3,497.58 and 945.72 is: 1,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.25 : 3,497.58 = 945.72 : x
  2. Step 2: Convert to fraction form
    2,333.25/3,497.58 = 945.72/x
  3. Step 3: Cross multiply
    2,333.25x = 3,497.58 × 945.72
  4. Step 4: Simplify right side
    2,333.25x = 3,307,731.36
  5. Step 5: Solve for x
    x = 3,307,731.36/2,333.25
  6. Step 6: Final answer
    x = 1,417.65

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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.