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Finding the Fourth Proportional to 2,389.65, 3,584.57 and 746.25

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Solution

The fourth proportional to 2,389.65, 3,584.57 and 746.25 is: 1,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.65 : 3,584.57 = 746.25 : x
  2. Step 2: Convert to fraction form
    2,389.65/3,584.57 = 746.25/x
  3. Step 3: Cross multiply
    2,389.65x = 3,584.57 × 746.25
  4. Step 4: Simplify right side
    2,389.65x = 2,674,981.63
  5. Step 5: Solve for x
    x = 2,674,981.63/2,389.65
  6. Step 6: Final answer
    x = 1,119.40

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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.