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Finding the Fourth Proportional to 1,588.93, 2,380.42 and 1,417.34

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Solution

The fourth proportional to 1,588.93, 2,380.42 and 1,417.34 is: 2,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.93 : 2,380.42 = 1,417.34 : x
  2. Step 2: Convert to fraction form
    1,588.93/2,380.42 = 1,417.34/x
  3. Step 3: Cross multiply
    1,588.93x = 2,380.42 × 1,417.34
  4. Step 4: Simplify right side
    1,588.93x = 3,373,872.21
  5. Step 5: Solve for x
    x = 3,373,872.21/1,588.93
  6. Step 6: Final answer
    x = 2,123.36

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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.