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Finding the Fourth Proportional to 2,424.74, 3,346.60 and 1,583.99

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Solution

The fourth proportional to 2,424.74, 3,346.60 and 1,583.99 is: 2,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.74 : 3,346.60 = 1,583.99 : x
  2. Step 2: Convert to fraction form
    2,424.74/3,346.60 = 1,583.99/x
  3. Step 3: Cross multiply
    2,424.74x = 3,346.60 × 1,583.99
  4. Step 4: Simplify right side
    2,424.74x = 5,300,980.93
  5. Step 5: Solve for x
    x = 5,300,980.93/2,424.74
  6. Step 6: Final answer
    x = 2,186.21

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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.