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Finding the Fourth Proportional to 1,705.02, 2,351.37 and 1,264.02

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Solution

The fourth proportional to 1,705.02, 2,351.37 and 1,264.02 is: 1,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.02 : 2,351.37 = 1,264.02 : x
  2. Step 2: Convert to fraction form
    1,705.02/2,351.37 = 1,264.02/x
  3. Step 3: Cross multiply
    1,705.02x = 2,351.37 × 1,264.02
  4. Step 4: Simplify right side
    1,705.02x = 2,972,178.71
  5. Step 5: Solve for x
    x = 2,972,178.71/1,705.02
  6. Step 6: Final answer
    x = 1,743.19

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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.