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Finding the Fourth Proportional to 2,257.02, 3,114.70 and 1,262.30

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Solution

The fourth proportional to 2,257.02, 3,114.70 and 1,262.30 is: 1,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.02 : 3,114.70 = 1,262.30 : x
  2. Step 2: Convert to fraction form
    2,257.02/3,114.70 = 1,262.30/x
  3. Step 3: Cross multiply
    2,257.02x = 3,114.70 × 1,262.30
  4. Step 4: Simplify right side
    2,257.02x = 3,931,685.81
  5. Step 5: Solve for x
    x = 3,931,685.81/2,257.02
  6. Step 6: Final answer
    x = 1,741.98

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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.