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Finding the Fourth Proportional to 1,460.80, 2,192.76 and 811.36

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Solution

The fourth proportional to 1,460.80, 2,192.76 and 811.36 is: 1,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.80 : 2,192.76 = 811.36 : x
  2. Step 2: Convert to fraction form
    1,460.80/2,192.76 = 811.36/x
  3. Step 3: Cross multiply
    1,460.80x = 2,192.76 × 811.36
  4. Step 4: Simplify right side
    1,460.80x = 1,779,117.75
  5. Step 5: Solve for x
    x = 1,779,117.75/1,460.80
  6. Step 6: Final answer
    x = 1,217.91

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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.