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Finding the Fourth Proportional to 2,100.79, 3,151.59 and 714.07

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Solution

The fourth proportional to 2,100.79, 3,151.59 and 714.07 is: 1,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.79 : 3,151.59 = 714.07 : x
  2. Step 2: Convert to fraction form
    2,100.79/3,151.59 = 714.07/x
  3. Step 3: Cross multiply
    2,100.79x = 3,151.59 × 714.07
  4. Step 4: Simplify right side
    2,100.79x = 2,250,455.87
  5. Step 5: Solve for x
    x = 2,250,455.87/2,100.79
  6. Step 6: Final answer
    x = 1,071.24

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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.