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Finding the Fourth Proportional to 3,046.66, 4,569.37 and 855.40

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Solution

The fourth proportional to 3,046.66, 4,569.37 and 855.40 is: 1,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.66 : 4,569.37 = 855.40 : x
  2. Step 2: Convert to fraction form
    3,046.66/4,569.37 = 855.40/x
  3. Step 3: Cross multiply
    3,046.66x = 4,569.37 × 855.40
  4. Step 4: Simplify right side
    3,046.66x = 3,908,639.10
  5. Step 5: Solve for x
    x = 3,908,639.10/3,046.66
  6. Step 6: Final answer
    x = 1,282.93

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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.