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Finding the Fourth Proportional to 1,537.81, 2,306.81 and 442.15

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Solution

The fourth proportional to 1,537.81, 2,306.81 and 442.15 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.81 : 2,306.81 = 442.15 : x
  2. Step 2: Convert to fraction form
    1,537.81/2,306.81 = 442.15/x
  3. Step 3: Cross multiply
    1,537.81x = 2,306.81 × 442.15
  4. Step 4: Simplify right side
    1,537.81x = 1,019,956.04
  5. Step 5: Solve for x
    x = 1,019,956.04/1,537.81
  6. Step 6: Final answer
    x = 663.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.