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Finding the Fourth Proportional to 2,902.24, 4,352.64 and 953.92

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Solution

The fourth proportional to 2,902.24, 4,352.64 and 953.92 is: 1,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.24 : 4,352.64 = 953.92 : x
  2. Step 2: Convert to fraction form
    2,902.24/4,352.64 = 953.92/x
  3. Step 3: Cross multiply
    2,902.24x = 4,352.64 × 953.92
  4. Step 4: Simplify right side
    2,902.24x = 4,152,070.35
  5. Step 5: Solve for x
    x = 4,152,070.35/2,902.24
  6. Step 6: Final answer
    x = 1,430.64

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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.