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Finding the Fourth Proportional to 2,337.60, 3,506.40 and 1,606.48

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Solution

The fourth proportional to 2,337.60, 3,506.40 and 1,606.48 is: 2,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.60 : 3,506.40 = 1,606.48 : x
  2. Step 2: Convert to fraction form
    2,337.60/3,506.40 = 1,606.48/x
  3. Step 3: Cross multiply
    2,337.60x = 3,506.40 × 1,606.48
  4. Step 4: Simplify right side
    2,337.60x = 5,632,961.47
  5. Step 5: Solve for x
    x = 5,632,961.47/2,337.60
  6. Step 6: Final answer
    x = 2,409.72

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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.