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Finding the Fourth Proportional to 1,653.63, 2,283.02 and 1,065.21

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Solution

The fourth proportional to 1,653.63, 2,283.02 and 1,065.21 is: 1,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.63 : 2,283.02 = 1,065.21 : x
  2. Step 2: Convert to fraction form
    1,653.63/2,283.02 = 1,065.21/x
  3. Step 3: Cross multiply
    1,653.63x = 2,283.02 × 1,065.21
  4. Step 4: Simplify right side
    1,653.63x = 2,431,895.73
  5. Step 5: Solve for x
    x = 2,431,895.73/1,653.63
  6. Step 6: Final answer
    x = 1,470.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.