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Finding the Fourth Proportional to 2,646.06, 3,969.81 and 1,492.62

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Solution

The fourth proportional to 2,646.06, 3,969.81 and 1,492.62 is: 2,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.06 : 3,969.81 = 1,492.62 : x
  2. Step 2: Convert to fraction form
    2,646.06/3,969.81 = 1,492.62/x
  3. Step 3: Cross multiply
    2,646.06x = 3,969.81 × 1,492.62
  4. Step 4: Simplify right side
    2,646.06x = 5,925,417.80
  5. Step 5: Solve for x
    x = 5,925,417.80/2,646.06
  6. Step 6: Final answer
    x = 2,239.34

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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.