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Finding the Fourth Proportional to 1,531.90, 2,297.86 and 377.65

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Solution

The fourth proportional to 1,531.90, 2,297.86 and 377.65 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.90 : 2,297.86 = 377.65 : x
  2. Step 2: Convert to fraction form
    1,531.90/2,297.86 = 377.65/x
  3. Step 3: Cross multiply
    1,531.90x = 2,297.86 × 377.65
  4. Step 4: Simplify right side
    1,531.90x = 867,780.14
  5. Step 5: Solve for x
    x = 867,780.14/1,531.90
  6. Step 6: Final answer
    x = 566.47

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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.