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Finding the Fourth Proportional to 2,347.70, 3,517.53 and 2,051.93

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Solution

The fourth proportional to 2,347.70, 3,517.53 and 2,051.93 is: 3,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.70 : 3,517.53 = 2,051.93 : x
  2. Step 2: Convert to fraction form
    2,347.70/3,517.53 = 2,051.93/x
  3. Step 3: Cross multiply
    2,347.70x = 3,517.53 × 2,051.93
  4. Step 4: Simplify right side
    2,347.70x = 7,217,707.75
  5. Step 5: Solve for x
    x = 7,217,707.75/2,347.70
  6. Step 6: Final answer
    x = 3,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.