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Finding the Fourth Proportional to 3,156.05, 4,737.74 and 1,698.05

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Solution

The fourth proportional to 3,156.05, 4,737.74 and 1,698.05 is: 2,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.05 : 4,737.74 = 1,698.05 : x
  2. Step 2: Convert to fraction form
    3,156.05/4,737.74 = 1,698.05/x
  3. Step 3: Cross multiply
    3,156.05x = 4,737.74 × 1,698.05
  4. Step 4: Simplify right side
    3,156.05x = 8,044,922.76
  5. Step 5: Solve for x
    x = 8,044,922.76/3,156.05
  6. Step 6: Final answer
    x = 2,549.05

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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.