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Finding the Fourth Proportional to 1,653.35, 2,283.32 and 1,512.95

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Solution

The fourth proportional to 1,653.35, 2,283.32 and 1,512.95 is: 2,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.35 : 2,283.32 = 1,512.95 : x
  2. Step 2: Convert to fraction form
    1,653.35/2,283.32 = 1,512.95/x
  3. Step 3: Cross multiply
    1,653.35x = 2,283.32 × 1,512.95
  4. Step 4: Simplify right side
    1,653.35x = 3,454,541.36
  5. Step 5: Solve for x
    x = 3,454,541.36/1,653.35
  6. Step 6: Final answer
    x = 2,089.43

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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.