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Finding the Fourth Proportional to 1,740.08, 2,610.24 and 585.44

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Solution

The fourth proportional to 1,740.08, 2,610.24 and 585.44 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.08 : 2,610.24 = 585.44 : x
  2. Step 2: Convert to fraction form
    1,740.08/2,610.24 = 585.44/x
  3. Step 3: Cross multiply
    1,740.08x = 2,610.24 × 585.44
  4. Step 4: Simplify right side
    1,740.08x = 1,528,138.91
  5. Step 5: Solve for x
    x = 1,528,138.91/1,740.08
  6. Step 6: Final answer
    x = 878.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.