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Finding the Fourth Proportional to 1,460.57, 2,190.87 and 594.27

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Solution

The fourth proportional to 1,460.57, 2,190.87 and 594.27 is: 891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.57 : 2,190.87 = 594.27 : x
  2. Step 2: Convert to fraction form
    1,460.57/2,190.87 = 594.27/x
  3. Step 3: Cross multiply
    1,460.57x = 2,190.87 × 594.27
  4. Step 4: Simplify right side
    1,460.57x = 1,301,968.31
  5. Step 5: Solve for x
    x = 1,301,968.31/1,460.57
  6. Step 6: Final answer
    x = 891.41

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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.