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Finding the Fourth Proportional to 1,653.30, 2,466.02 and 1,538.48

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Solution

The fourth proportional to 1,653.30, 2,466.02 and 1,538.48 is: 2,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.30 : 2,466.02 = 1,538.48 : x
  2. Step 2: Convert to fraction form
    1,653.30/2,466.02 = 1,538.48/x
  3. Step 3: Cross multiply
    1,653.30x = 2,466.02 × 1,538.48
  4. Step 4: Simplify right side
    1,653.30x = 3,793,932.46
  5. Step 5: Solve for x
    x = 3,793,932.46/1,653.30
  6. Step 6: Final answer
    x = 2,294.76

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Why These Related Problems?

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