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Finding the Fourth Proportional to 2,855.93, 4,285.80 and 1,007.06

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Solution

The fourth proportional to 2,855.93, 4,285.80 and 1,007.06 is: 1,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.93 : 4,285.80 = 1,007.06 : x
  2. Step 2: Convert to fraction form
    2,855.93/4,285.80 = 1,007.06/x
  3. Step 3: Cross multiply
    2,855.93x = 4,285.80 × 1,007.06
  4. Step 4: Simplify right side
    2,855.93x = 4,316,036.32
  5. Step 5: Solve for x
    x = 4,316,036.32/2,855.93
  6. Step 6: Final answer
    x = 1,511.26

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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.