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Finding the Fourth Proportional to 1,709.12, 2,353.84 and 1,588.16

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Solution

The fourth proportional to 1,709.12, 2,353.84 and 1,588.16 is: 2,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.12 : 2,353.84 = 1,588.16 : x
  2. Step 2: Convert to fraction form
    1,709.12/2,353.84 = 1,588.16/x
  3. Step 3: Cross multiply
    1,709.12x = 2,353.84 × 1,588.16
  4. Step 4: Simplify right side
    1,709.12x = 3,738,274.53
  5. Step 5: Solve for x
    x = 3,738,274.53/1,709.12
  6. Step 6: Final answer
    x = 2,187.25

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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.