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Finding the Fourth Proportional to 3,045.93, 4,569.17 and 854.69

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Solution

The fourth proportional to 3,045.93, 4,569.17 and 854.69 is: 1,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.93 : 4,569.17 = 854.69 : x
  2. Step 2: Convert to fraction form
    3,045.93/4,569.17 = 854.69/x
  3. Step 3: Cross multiply
    3,045.93x = 4,569.17 × 854.69
  4. Step 4: Simplify right side
    3,045.93x = 3,905,196.79
  5. Step 5: Solve for x
    x = 3,905,196.79/3,045.93
  6. Step 6: Final answer
    x = 1,282.10

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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.