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Finding the Fourth Proportional to 3,045.98, 4,568.90 and 854.66

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Solution

The fourth proportional to 3,045.98, 4,568.90 and 854.66 is: 1,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.98 : 4,568.90 = 854.66 : x
  2. Step 2: Convert to fraction form
    3,045.98/4,568.90 = 854.66/x
  3. Step 3: Cross multiply
    3,045.98x = 4,568.90 × 854.66
  4. Step 4: Simplify right side
    3,045.98x = 3,904,828.96
  5. Step 5: Solve for x
    x = 3,904,828.96/3,045.98
  6. Step 6: Final answer
    x = 1,281.96

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1.5x scale

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.