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Finding the Fourth Proportional to 2,111.42, 2,907.15 and 1,737.20

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Solution

The fourth proportional to 2,111.42, 2,907.15 and 1,737.20 is: 2,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.42 : 2,907.15 = 1,737.20 : x
  2. Step 2: Convert to fraction form
    2,111.42/2,907.15 = 1,737.20/x
  3. Step 3: Cross multiply
    2,111.42x = 2,907.15 × 1,737.20
  4. Step 4: Simplify right side
    2,111.42x = 5,050,300.98
  5. Step 5: Solve for x
    x = 5,050,300.98/2,111.42
  6. Step 6: Final answer
    x = 2,391.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.