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Finding the Fourth Proportional to 1,501.31, 2,071.64 and 871.76

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Solution

The fourth proportional to 1,501.31, 2,071.64 and 871.76 is: 1,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.31 : 2,071.64 = 871.76 : x
  2. Step 2: Convert to fraction form
    1,501.31/2,071.64 = 871.76/x
  3. Step 3: Cross multiply
    1,501.31x = 2,071.64 × 871.76
  4. Step 4: Simplify right side
    1,501.31x = 1,805,980.24
  5. Step 5: Solve for x
    x = 1,805,980.24/1,501.31
  6. Step 6: Final answer
    x = 1,202.93

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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.