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Finding the Fourth Proportional to 1,535.38, 2,303.04 and 381.14

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Solution

The fourth proportional to 1,535.38, 2,303.04 and 381.14 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.38 : 2,303.04 = 381.14 : x
  2. Step 2: Convert to fraction form
    1,535.38/2,303.04 = 381.14/x
  3. Step 3: Cross multiply
    1,535.38x = 2,303.04 × 381.14
  4. Step 4: Simplify right side
    1,535.38x = 877,780.67
  5. Step 5: Solve for x
    x = 877,780.67/1,535.38
  6. Step 6: Final answer
    x = 571.70

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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.