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Finding the Fourth Proportional to 1,709.30, 2,562.34 and 613.10

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Solution

The fourth proportional to 1,709.30, 2,562.34 and 613.10 is: 919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.30 : 2,562.34 = 613.10 : x
  2. Step 2: Convert to fraction form
    1,709.30/2,562.34 = 613.10/x
  3. Step 3: Cross multiply
    1,709.30x = 2,562.34 × 613.10
  4. Step 4: Simplify right side
    1,709.30x = 1,570,970.65
  5. Step 5: Solve for x
    x = 1,570,970.65/1,709.30
  6. Step 6: Final answer
    x = 919.07

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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.