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Finding the Fourth Proportional to 2,384.04, 3,289.14 and 1,823.60

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Solution

The fourth proportional to 2,384.04, 3,289.14 and 1,823.60 is: 2,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.04 : 3,289.14 = 1,823.60 : x
  2. Step 2: Convert to fraction form
    2,384.04/3,289.14 = 1,823.60/x
  3. Step 3: Cross multiply
    2,384.04x = 3,289.14 × 1,823.60
  4. Step 4: Simplify right side
    2,384.04x = 5,998,075.70
  5. Step 5: Solve for x
    x = 5,998,075.70/2,384.04
  6. Step 6: Final answer
    x = 2,515.93

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