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Finding the Fourth Proportional to 1,569.17, 2,361.96 and 1,418.36

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Solution

The fourth proportional to 1,569.17, 2,361.96 and 1,418.36 is: 2,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.17 : 2,361.96 = 1,418.36 : x
  2. Step 2: Convert to fraction form
    1,569.17/2,361.96 = 1,418.36/x
  3. Step 3: Cross multiply
    1,569.17x = 2,361.96 × 1,418.36
  4. Step 4: Simplify right side
    1,569.17x = 3,350,111.06
  5. Step 5: Solve for x
    x = 3,350,111.06/1,569.17
  6. Step 6: Final answer
    x = 2,134.95

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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.