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Finding the Fourth Proportional to 1,585.92, 2,359.68 and 1,546.24

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Solution

The fourth proportional to 1,585.92, 2,359.68 and 1,546.24 is: 2,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.92 : 2,359.68 = 1,546.24 : x
  2. Step 2: Convert to fraction form
    1,585.92/2,359.68 = 1,546.24/x
  3. Step 3: Cross multiply
    1,585.92x = 2,359.68 × 1,546.24
  4. Step 4: Simplify right side
    1,585.92x = 3,648,631.60
  5. Step 5: Solve for x
    x = 3,648,631.60/1,585.92
  6. Step 6: Final answer
    x = 2,300.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.