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Finding the Fourth Proportional to 3,019.51, 4,524.14 and 1,460.25

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Solution

The fourth proportional to 3,019.51, 4,524.14 and 1,460.25 is: 2,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.51 : 4,524.14 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    3,019.51/4,524.14 = 1,460.25/x
  3. Step 3: Cross multiply
    3,019.51x = 4,524.14 × 1,460.25
  4. Step 4: Simplify right side
    3,019.51x = 6,606,381.82
  5. Step 5: Solve for x
    x = 6,606,381.82/3,019.51
  6. Step 6: Final answer
    x = 2,187.90

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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.