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Finding the Fourth Proportional to 3,386.89, 4,672.03 and 1,970.42

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Solution

The fourth proportional to 3,386.89, 4,672.03 and 1,970.42 is: 2,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.89 : 4,672.03 = 1,970.42 : x
  2. Step 2: Convert to fraction form
    3,386.89/4,672.03 = 1,970.42/x
  3. Step 3: Cross multiply
    3,386.89x = 4,672.03 × 1,970.42
  4. Step 4: Simplify right side
    3,386.89x = 9,205,861.35
  5. Step 5: Solve for x
    x = 9,205,861.35/3,386.89
  6. Step 6: Final answer
    x = 2,718.08

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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.