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Finding the Fourth Proportional to 1,492.10, 2,236.46 and 760.13

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Solution

The fourth proportional to 1,492.10, 2,236.46 and 760.13 is: 1,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.10 : 2,236.46 = 760.13 : x
  2. Step 2: Convert to fraction form
    1,492.10/2,236.46 = 760.13/x
  3. Step 3: Cross multiply
    1,492.10x = 2,236.46 × 760.13
  4. Step 4: Simplify right side
    1,492.10x = 1,699,985.36
  5. Step 5: Solve for x
    x = 1,699,985.36/1,492.10
  6. Step 6: Final answer
    x = 1,139.33

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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.