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Finding the Fourth Proportional to 1,709.30, 2,357.61 and 1,652.13

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Solution

The fourth proportional to 1,709.30, 2,357.61 and 1,652.13 is: 2,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.30 : 2,357.61 = 1,652.13 : x
  2. Step 2: Convert to fraction form
    1,709.30/2,357.61 = 1,652.13/x
  3. Step 3: Cross multiply
    1,709.30x = 2,357.61 × 1,652.13
  4. Step 4: Simplify right side
    1,709.30x = 3,895,072.01
  5. Step 5: Solve for x
    x = 3,895,072.01/1,709.30
  6. Step 6: Final answer
    x = 2,278.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.