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Finding the Fourth Proportional to 1,710.99, 2,569.73 and 1,464.75

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Solution

The fourth proportional to 1,710.99, 2,569.73 and 1,464.75 is: 2,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.99 : 2,569.73 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    1,710.99/2,569.73 = 1,464.75/x
  3. Step 3: Cross multiply
    1,710.99x = 2,569.73 × 1,464.75
  4. Step 4: Simplify right side
    1,710.99x = 3,764,012.02
  5. Step 5: Solve for x
    x = 3,764,012.02/1,710.99
  6. Step 6: Final answer
    x = 2,199.90

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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.