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Finding the Fourth Proportional to 1,460.08, 2,190.12 and 594.39

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Solution

The fourth proportional to 1,460.08, 2,190.12 and 594.39 is: 891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.08 : 2,190.12 = 594.39 : x
  2. Step 2: Convert to fraction form
    1,460.08/2,190.12 = 594.39/x
  3. Step 3: Cross multiply
    1,460.08x = 2,190.12 × 594.39
  4. Step 4: Simplify right side
    1,460.08x = 1,301,785.43
  5. Step 5: Solve for x
    x = 1,301,785.43/1,460.08
  6. Step 6: Final answer
    x = 891.59

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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.