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Finding the Fourth Proportional to 1,460.39, 2,190.83 and 473.45

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Solution

The fourth proportional to 1,460.39, 2,190.83 and 473.45 is: 710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.39 : 2,190.83 = 473.45 : x
  2. Step 2: Convert to fraction form
    1,460.39/2,190.83 = 473.45/x
  3. Step 3: Cross multiply
    1,460.39x = 2,190.83 × 473.45
  4. Step 4: Simplify right side
    1,460.39x = 1,037,251.57
  5. Step 5: Solve for x
    x = 1,037,251.57/1,460.39
  6. Step 6: Final answer
    x = 710.26

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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.