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Finding the Fourth Proportional to 2,384.48, 3,290.01 and 1,825.58

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Solution

The fourth proportional to 2,384.48, 3,290.01 and 1,825.58 is: 2,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.48 : 3,290.01 = 1,825.58 : x
  2. Step 2: Convert to fraction form
    2,384.48/3,290.01 = 1,825.58/x
  3. Step 3: Cross multiply
    2,384.48x = 3,290.01 × 1,825.58
  4. Step 4: Simplify right side
    2,384.48x = 6,006,176.46
  5. Step 5: Solve for x
    x = 6,006,176.46/2,384.48
  6. Step 6: Final answer
    x = 2,518.86

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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.