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Finding the Fourth Proportional to 1,558.52, 2,333.66 and 941.40

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Solution

The fourth proportional to 1,558.52, 2,333.66 and 941.40 is: 1,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.52 : 2,333.66 = 941.40 : x
  2. Step 2: Convert to fraction form
    1,558.52/2,333.66 = 941.40/x
  3. Step 3: Cross multiply
    1,558.52x = 2,333.66 × 941.40
  4. Step 4: Simplify right side
    1,558.52x = 2,196,907.52
  5. Step 5: Solve for x
    x = 2,196,907.52/1,558.52
  6. Step 6: Final answer
    x = 1,409.61

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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.