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Finding the Fourth Proportional to 2,156.01, 2,975.05 and 1,211.68

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Solution

The fourth proportional to 2,156.01, 2,975.05 and 1,211.68 is: 1,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.01 : 2,975.05 = 1,211.68 : x
  2. Step 2: Convert to fraction form
    2,156.01/2,975.05 = 1,211.68/x
  3. Step 3: Cross multiply
    2,156.01x = 2,975.05 × 1,211.68
  4. Step 4: Simplify right side
    2,156.01x = 3,604,808.58
  5. Step 5: Solve for x
    x = 3,604,808.58/2,156.01
  6. Step 6: Final answer
    x = 1,671.98

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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.