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Finding the Fourth Proportional to 2,101.86, 3,153.40 and 1,007.16

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Solution

The fourth proportional to 2,101.86, 3,153.40 and 1,007.16 is: 1,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.86 : 3,153.40 = 1,007.16 : x
  2. Step 2: Convert to fraction form
    2,101.86/3,153.40 = 1,007.16/x
  3. Step 3: Cross multiply
    2,101.86x = 3,153.40 × 1,007.16
  4. Step 4: Simplify right side
    2,101.86x = 3,175,978.34
  5. Step 5: Solve for x
    x = 3,175,978.34/2,101.86
  6. Step 6: Final answer
    x = 1,511.03

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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.