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Finding the Fourth Proportional to 2,590.52, 3,880.67 and 1,710.33

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Solution

The fourth proportional to 2,590.52, 3,880.67 and 1,710.33 is: 2,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.52 : 3,880.67 = 1,710.33 : x
  2. Step 2: Convert to fraction form
    2,590.52/3,880.67 = 1,710.33/x
  3. Step 3: Cross multiply
    2,590.52x = 3,880.67 × 1,710.33
  4. Step 4: Simplify right side
    2,590.52x = 6,637,217.77
  5. Step 5: Solve for x
    x = 6,637,217.77/2,590.52
  6. Step 6: Final answer
    x = 2,562.12

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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.