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Finding the Fourth Proportional to 2,140.60, 3,215.70 and 1,492.60

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Solution

The fourth proportional to 2,140.60, 3,215.70 and 1,492.60 is: 2,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.60 : 3,215.70 = 1,492.60 : x
  2. Step 2: Convert to fraction form
    2,140.60/3,215.70 = 1,492.60/x
  3. Step 3: Cross multiply
    2,140.60x = 3,215.70 × 1,492.60
  4. Step 4: Simplify right side
    2,140.60x = 4,799,753.82
  5. Step 5: Solve for x
    x = 4,799,753.82/2,140.60
  6. Step 6: Final answer
    x = 2,242.25

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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.