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Finding the Fourth Proportional to 1,712.93, 2,361.71 and 1,429.76

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Solution

The fourth proportional to 1,712.93, 2,361.71 and 1,429.76 is: 1,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.93 : 2,361.71 = 1,429.76 : x
  2. Step 2: Convert to fraction form
    1,712.93/2,361.71 = 1,429.76/x
  3. Step 3: Cross multiply
    1,712.93x = 2,361.71 × 1,429.76
  4. Step 4: Simplify right side
    1,712.93x = 3,376,678.49
  5. Step 5: Solve for x
    x = 3,376,678.49/1,712.93
  6. Step 6: Final answer
    x = 1,971.29

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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.