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Finding the Fourth Proportional to 2,316.72, 3,475.98 and 1,019.10

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Solution

The fourth proportional to 2,316.72, 3,475.98 and 1,019.10 is: 1,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.72 : 3,475.98 = 1,019.10 : x
  2. Step 2: Convert to fraction form
    2,316.72/3,475.98 = 1,019.10/x
  3. Step 3: Cross multiply
    2,316.72x = 3,475.98 × 1,019.10
  4. Step 4: Simplify right side
    2,316.72x = 3,542,371.22
  5. Step 5: Solve for x
    x = 3,542,371.22/2,316.72
  6. Step 6: Final answer
    x = 1,529.05

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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.