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Finding the Fourth Proportional to 1,501.11, 2,071.56 and 828.95

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Solution

The fourth proportional to 1,501.11, 2,071.56 and 828.95 is: 1,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.11 : 2,071.56 = 828.95 : x
  2. Step 2: Convert to fraction form
    1,501.11/2,071.56 = 828.95/x
  3. Step 3: Cross multiply
    1,501.11x = 2,071.56 × 828.95
  4. Step 4: Simplify right side
    1,501.11x = 1,717,219.66
  5. Step 5: Solve for x
    x = 1,717,219.66/1,501.11
  6. Step 6: Final answer
    x = 1,143.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.