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Finding the Fourth Proportional to 3,362.61, 4,640.07 and 1,870.38

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Solution

The fourth proportional to 3,362.61, 4,640.07 and 1,870.38 is: 2,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.61 : 4,640.07 = 1,870.38 : x
  2. Step 2: Convert to fraction form
    3,362.61/4,640.07 = 1,870.38/x
  3. Step 3: Cross multiply
    3,362.61x = 4,640.07 × 1,870.38
  4. Step 4: Simplify right side
    3,362.61x = 8,678,701.14
  5. Step 5: Solve for x
    x = 8,678,701.14/3,362.61
  6. Step 6: Final answer
    x = 2,580.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.