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Finding the Fourth Proportional to 1,262.13, 1,905.05 and 1,262.13

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Solution

The fourth proportional to 1,262.13, 1,905.05 and 1,262.13 is: 1,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.13 : 1,905.05 = 1,262.13 : x
  2. Step 2: Convert to fraction form
    1,262.13/1,905.05 = 1,262.13/x
  3. Step 3: Cross multiply
    1,262.13x = 1,905.05 × 1,262.13
  4. Step 4: Simplify right side
    1,262.13x = 2,404,420.76
  5. Step 5: Solve for x
    x = 2,404,420.76/1,262.13
  6. Step 6: Final answer
    x = 1,905.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.