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Finding the Fourth Proportional to 2,560.14, 3,838.10 and 999.32

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Solution

The fourth proportional to 2,560.14, 3,838.10 and 999.32 is: 1,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.14 : 3,838.10 = 999.32 : x
  2. Step 2: Convert to fraction form
    2,560.14/3,838.10 = 999.32/x
  3. Step 3: Cross multiply
    2,560.14x = 3,838.10 × 999.32
  4. Step 4: Simplify right side
    2,560.14x = 3,835,465.90
  5. Step 5: Solve for x
    x = 3,835,465.90/2,560.14
  6. Step 6: Final answer
    x = 1,498.15

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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.