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Finding the Fourth Proportional to 2,101.15, 3,150.49 and 714.11

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Solution

The fourth proportional to 2,101.15, 3,150.49 and 714.11 is: 1,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.15 : 3,150.49 = 714.11 : x
  2. Step 2: Convert to fraction form
    2,101.15/3,150.49 = 714.11/x
  3. Step 3: Cross multiply
    2,101.15x = 3,150.49 × 714.11
  4. Step 4: Simplify right side
    2,101.15x = 2,249,796.41
  5. Step 5: Solve for x
    x = 2,249,796.41/2,101.15
  6. Step 6: Final answer
    x = 1,070.75

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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.