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Finding the Fourth Proportional to 2,113.02, 2,916.14 and 1,228.50

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Solution

The fourth proportional to 2,113.02, 2,916.14 and 1,228.50 is: 1,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.02 : 2,916.14 = 1,228.50 : x
  2. Step 2: Convert to fraction form
    2,113.02/2,916.14 = 1,228.50/x
  3. Step 3: Cross multiply
    2,113.02x = 2,916.14 × 1,228.50
  4. Step 4: Simplify right side
    2,113.02x = 3,582,471.85
  5. Step 5: Solve for x
    x = 3,582,471.85/2,113.02
  6. Step 6: Final answer
    x = 1,695.43

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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.