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Finding the Fourth Proportional to 2,386.04, 3,578.64 and 923.99

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Solution

The fourth proportional to 2,386.04, 3,578.64 and 923.99 is: 1,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.04 : 3,578.64 = 923.99 : x
  2. Step 2: Convert to fraction form
    2,386.04/3,578.64 = 923.99/x
  3. Step 3: Cross multiply
    2,386.04x = 3,578.64 × 923.99
  4. Step 4: Simplify right side
    2,386.04x = 3,306,627.57
  5. Step 5: Solve for x
    x = 3,306,627.57/2,386.04
  6. Step 6: Final answer
    x = 1,385.82

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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.