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Finding the Fourth Proportional to 2,406.24, 3,608.74 and 945.40

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Solution

The fourth proportional to 2,406.24, 3,608.74 and 945.40 is: 1,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.24 : 3,608.74 = 945.40 : x
  2. Step 2: Convert to fraction form
    2,406.24/3,608.74 = 945.40/x
  3. Step 3: Cross multiply
    2,406.24x = 3,608.74 × 945.40
  4. Step 4: Simplify right side
    2,406.24x = 3,411,702.80
  5. Step 5: Solve for x
    x = 3,411,702.80/2,406.24
  6. Step 6: Final answer
    x = 1,417.86

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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.