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Finding the Fourth Proportional to 2,580.07, 3,870.10 and 936.61

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Solution

The fourth proportional to 2,580.07, 3,870.10 and 936.61 is: 1,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.07 : 3,870.10 = 936.61 : x
  2. Step 2: Convert to fraction form
    2,580.07/3,870.10 = 936.61/x
  3. Step 3: Cross multiply
    2,580.07x = 3,870.10 × 936.61
  4. Step 4: Simplify right side
    2,580.07x = 3,624,774.36
  5. Step 5: Solve for x
    x = 3,624,774.36/2,580.07
  6. Step 6: Final answer
    x = 1,404.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.