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Finding the Fourth Proportional to 1,460.19, 2,015.06 and 871.07

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Solution

The fourth proportional to 1,460.19, 2,015.06 and 871.07 is: 1,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.19 : 2,015.06 = 871.07 : x
  2. Step 2: Convert to fraction form
    1,460.19/2,015.06 = 871.07/x
  3. Step 3: Cross multiply
    1,460.19x = 2,015.06 × 871.07
  4. Step 4: Simplify right side
    1,460.19x = 1,755,248.24
  5. Step 5: Solve for x
    x = 1,755,248.24/1,460.19
  6. Step 6: Final answer
    x = 1,202.07

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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.