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Finding the Fourth Proportional to 2,800.70, 4,196.76 and 1,410.15

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Solution

The fourth proportional to 2,800.70, 4,196.76 and 1,410.15 is: 2,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.70 : 4,196.76 = 1,410.15 : x
  2. Step 2: Convert to fraction form
    2,800.70/4,196.76 = 1,410.15/x
  3. Step 3: Cross multiply
    2,800.70x = 4,196.76 × 1,410.15
  4. Step 4: Simplify right side
    2,800.70x = 5,918,061.11
  5. Step 5: Solve for x
    x = 5,918,061.11/2,800.70
  6. Step 6: Final answer
    x = 2,113.07

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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.