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Finding the Fourth Proportional to 2,389.32, 3,584.07 and 657.95

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Solution

The fourth proportional to 2,389.32, 3,584.07 and 657.95 is: 986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.32 : 3,584.07 = 657.95 : x
  2. Step 2: Convert to fraction form
    2,389.32/3,584.07 = 657.95/x
  3. Step 3: Cross multiply
    2,389.32x = 3,584.07 × 657.95
  4. Step 4: Simplify right side
    2,389.32x = 2,358,120.94
  5. Step 5: Solve for x
    x = 2,358,120.94/2,389.32
  6. Step 6: Final answer
    x = 986.94

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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.