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Finding the Fourth Proportional to 1,283.88, 1,916.53 and 1,128.18

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Solution

The fourth proportional to 1,283.88, 1,916.53 and 1,128.18 is: 1,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.88 : 1,916.53 = 1,128.18 : x
  2. Step 2: Convert to fraction form
    1,283.88/1,916.53 = 1,128.18/x
  3. Step 3: Cross multiply
    1,283.88x = 1,916.53 × 1,128.18
  4. Step 4: Simplify right side
    1,283.88x = 2,162,185.17
  5. Step 5: Solve for x
    x = 2,162,185.17/1,283.88
  6. Step 6: Final answer
    x = 1,684.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.