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Finding the Fourth Proportional to 2,026.64, 3,038.14 and 1,410.64

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Solution

The fourth proportional to 2,026.64, 3,038.14 and 1,410.64 is: 2,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.64 : 3,038.14 = 1,410.64 : x
  2. Step 2: Convert to fraction form
    2,026.64/3,038.14 = 1,410.64/x
  3. Step 3: Cross multiply
    2,026.64x = 3,038.14 × 1,410.64
  4. Step 4: Simplify right side
    2,026.64x = 4,285,715.98
  5. Step 5: Solve for x
    x = 4,285,715.98/2,026.64
  6. Step 6: Final answer
    x = 2,114.69

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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.