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Finding the Fourth Proportional to 1,460.16, 2,192.36 and 910.68

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Solution

The fourth proportional to 1,460.16, 2,192.36 and 910.68 is: 1,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.16 : 2,192.36 = 910.68 : x
  2. Step 2: Convert to fraction form
    1,460.16/2,192.36 = 910.68/x
  3. Step 3: Cross multiply
    1,460.16x = 2,192.36 × 910.68
  4. Step 4: Simplify right side
    1,460.16x = 1,996,538.40
  5. Step 5: Solve for x
    x = 1,996,538.40/1,460.16
  6. Step 6: Final answer
    x = 1,367.34

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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.