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Finding the Fourth Proportional to 1,535.32, 2,302.98 and 381.07

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Solution

The fourth proportional to 1,535.32, 2,302.98 and 381.07 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.32 : 2,302.98 = 381.07 : x
  2. Step 2: Convert to fraction form
    1,535.32/2,302.98 = 381.07/x
  3. Step 3: Cross multiply
    1,535.32x = 2,302.98 × 381.07
  4. Step 4: Simplify right side
    1,535.32x = 877,596.59
  5. Step 5: Solve for x
    x = 877,596.59/1,535.32
  6. Step 6: Final answer
    x = 571.61

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